5^4=625 in log form pls.

Answers

Answer 1

Answer:4log5=4log5

Step-by-step explanation:

Take the log of both sides

log5^4 =log 625

By log log a^b=b loga

4log 5=log5^4

4log5 =4log 5

Answer 2

Expressions and equations can be written in logarithmic forms.

The logarithmic form of [tex]5^4 = 625[/tex] is [tex]\log_5(625) = 4[/tex]

The equation is given as:

[tex]5^4 = 625[/tex]

Take the logarithm of both sides of the equation

[tex]\log(5^4) = \log(625)[/tex]

Apply law of logarithm

[tex]4\log(5) = \log(625)[/tex]

Divide both sides of the equation by log(5)

[tex]4 = \frac{\log(625)}{\log(5)}[/tex]

Apply change of base law of logarithm

[tex]4 = \log_5(625)[/tex]

Rewrite the equation as follows:

[tex]\log_5(625) = 4[/tex]

Hence, the logarithmic form of [tex]5^4 = 625[/tex] is [tex]\log_5(625) = 4[/tex]

Read more about logarithms at:

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Related Questions

Consider the two triangles.

Triangles W U V and X Z Y are shown. Angles V U W and Y X Z are congruent. Angles U W V and X Z Y are congruent. Angles U V W and Z Y X are congruent. The length of side V W is 60 and the length of side Z Y is 48. The length of side Y X is 40 and the length of V U is 50. The length of side U W is 40 and the length of X Z is 32.

How can the triangles be proven similar by the SSS similarity theorem?

Show that the ratios StartFraction U V Over X Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over Z Y EndFraction are equivalent.
Show that the ratios StartFraction U V Over Z Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over X Y EndFraction are equivalent.
Show that the ratios StartFraction U V Over X Y EndFraction and StartFraction W V Over Z Y EndFraction are equivalent, and ∠V ≅ ∠Y.
Show that the ratios StartFraction U V Over Z Y EndFraction and StartFraction W U Over Z X EndFraction are equivalent, and ∠U ≅ ∠Z.

Answers

Answer:

(A)Show that the ratios StartFraction U V Over X Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over Z Y EndFraction are equivalent.

[tex]\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}[/tex]

Step-by-step explanation:

In Triangles WUV and XZY:

[tex]\angle VUW$ and \angle YXZ$ are congruent. \\\angle U W V$ and \angle X Z Y$ are congruent.\\ \angle U V W$ and \angle Z Y X$ are congruent.[/tex]

Therefore:

[tex]\triangle UWV \cong \triangle XZY[/tex]

To show that the triangles are similar by the SSS similarity theorem, we have:

[tex]\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}[/tex]

As a check:

[tex]\dfrac{UW}{XZ}=\dfrac{40}{32}=1.25\\\\\dfrac{WV}{ZY}=\dfrac{60}{48}=1.25\\\\\dfrac{UV}{XY}=\dfrac{50}{40}=1.25[/tex]

The correct option is A.

Answer:

answer is a

Step-by-step explanation:

What is the length of ED

Answers

Answer:

ED ≈ 2.6 units

Step-by-step explanation:

Using the Sine rule in Δ DEF

[tex]\frac{FD}{sin115}[/tex] = [tex]\frac{ED}{sin20}[/tex]

[tex]\frac{6.95}{sin115}[/tex] = [tex]\frac{ED}{sin20}[/tex] ( cross- multiply )

ED sin115° = 6.95 sin20° ( divide both sides by sin115° )

ED = [tex]\frac{6.95sin20}{sin115}[/tex] ≈ 2.6 ( to the nearest tenth )

What is the volume in cubic units of a cube with a side length of 1/2 unit?

Answers

Answer:

1/8

Step-by-step explanation:

[tex]\frac{1}{2}^3 = \frac{1^3}{2^3} = \frac{1}{8}[/tex]

The volume of the cube is 1/8^2 units.

A cube consists 6 squares. Squares can be easily be recognized because of one trait, they have equal side lengths on all 4 sides.

By knowing that a cube consists of only squares, you can immediately figure out that all sides of the cube are also 1/2 unit.

The formula for a cube is l*w*h. With that being said you then would multiply 1/2 by itself three times. This can be written out as 1/2*1/2*1/2 or 1/2^3 (which is why the exponent 3 is considered “cubed”.)

Multiplying 1/2 by itself three times will then look like this: 1/2*1/2=1/4*1/2=1/8 or just 1/2*1/2*1/2=1/8

someone pls help me with this :nth term of 3 4.5 6 7.5 I need the answer asap

Answers

Answer:

9.5

Step-by-step explanation:

the numbers go up by 1.5

so, 7.5 + 1.5 = 9

On Monday the temperature at 10 p.m at sams house was -6 Fahrenheit the temperature at 2 p.p at sams house was 2 Fahrenheit which statement about the change in temperature from 10 a.m to 2 p.m at sams house is true?

Answers

Answer:

rose 8

Step-by-step explanation:

-6fahrenheit plus 8 = 2 it took four hours to rise 8 i think

Ana Maria has applied for United States citizenship. She has studied American history and government for a long time and thinks she is ready to take the citizenship test. When she took the practice test online she answered forty-seven questions correctly and only missed three. What percent of the questions did she get right?

Answers

Answer:

≈93.6

Step-by-step explanation:

percent right = answers right/ anwers wrong

Answers right= 47-3=44

%=44/47

≈93.6

Please help! Correct answer only! I've been stuck on this question for hours and I need to finish this assignment before tomorrow.

In a raffle, one ticket out of 500 will win a $390 prize, three tickets will win a $230 prize, and sixteen tickets will win a $170 prize. The remaining tickets will win nothing. If you have a ticket, what is the expected payoff?

Answers

The first question was answered on another page.

As for your second question, you are unfortunately not correct.

We can check each possible answer by adding up the costs for each road. I recommend getting a marker out to trace the path, to help keep track of which roads were taken.

So we have...

Circuit ABDCA will cost AB+BD+DC+CA = 220+210+230+240= 900 in total (not 890). We can rule out choice A because the 890 and 900 don't match up.Circuit ACDBA will cost AC+CD+DB+BA = 240+230+210+220 = 900 in totalCircuit ABCDA will cost AB+BC+CD+DA = 220+200+230+310 = 960 in total

We see that Circuit ACDBA is the cheaper route of the answer choices given, and it perfectly matches with choice 2.

This may or may not be the cheapest route. I'm not all that familiar with the Nearest Neighbor algorithm to properly find the cheapest route (the next best thing is brute force). Luckily we can just use the answer choices as shown above. Besides the question doesn't ask for the absolute cheapest, but instead, "one of the cheapest".

So once again, the answer for the second question is choice 2

If point B is reflected across the y axis, what are the coordinates of the new point?
(-3,2)
(-2,-3)
(-2,3)
(3,-2)

Answers

Answer: (3,-2)

Step-by-step explanation: We're reflecting to the y-axis, thus, we're going to reflect to the right.

(-x,-y) ⇒ (x,-y)

Our current coordinate is (-3,-2)...let's convert it now...

(3,-2)

I hope this helps!

Answer:

(3, -2).

Step-by-step explanation:

When you reflect across the y axis the y coordinate stays the same and the x axis changes sign : (x, y) --> (-x, y).

So B (-3, -2) --> (3, -2).

Which of following lies between 0 and -1 ?

Answers

Answer:

Step-by-step explanation:

There are many numbers that lie between 0 and -1

Some common numbers are -1/4 , -1/2 , -3/4 , etc.........

Other numbers can be found by multiplying the numerator and denominator by the same number for example, 10

0/1 × 10/10 = 0/10

-1/1 × 10/10 = -10/10

Now the numbers between 0/10 and -10/10 are :

-1/10, -2/10....................................-9/10 etc.

hope this helps

plz mark it as brainliest!!!!!!!

The numbers lies between 0 and -1 shown below:

What is rational number?

A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. For example, −3/7 is a rational number, as is every integer.

To find the number lies between 0 and -1, we have to

0/1 and -1/1

0/1* 10/10 and -1/1*10/10

so, we have to find in between 0/10 and -0/10

-1/10, -2/10, -3/10, -4/10, ............................ -9/10

Hence, the numbers are -1/10, -2/10, -3/10, -4/10, ............................ -9/10.

Learn more about rational number here:

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Please help. How can this set be expressed using inequalities?

Answers

Answer:

Its the first one

Step-by-step explanation:

10 and x is Greater than -2

-2 is greater or less than x is greater or less than 10

Debra wants to cover a footrest in the shape of a rectangular prism with cotton fabric. The footrest is 15 inches by 7 inches by 9 inches. She has 1 square yard of fabric. Can she completely cover the​ footrest? Explain.

Answers

Answer:

Yes, she can.

Step-by-step explanation:

We have to find the surface area of the footrest and see if it greater than or less than 1 square yard.

The surface area of a rectangular prism is given as:

A=2(wl+hl+hw)

where w = width, l = length, h = height

The footrest is 15 inches by 7 inches by 9 inches. Its surface area is:

A = 2[(7 * 15) + (9 * 15) + (9 * 7)]

A = 2[105 + 135 + 63]

A = 2 * 303 = 606 square inches

1 square inch = 0.000771605 square yards

=> 606 square inches = 606 * 0.000771605 = 0.468 square yards

Since the surface area of the prism is less than 1 square yard, she can completely cover the footrest with the fabric.

The length of the rectangular fence is 4 feet greater than its width. The perimeter of the fence is less than 42 feet. What is the range of the lengths of the fence?

Answers

Answer: 4 feet < Length < 21 feet

Step-by-step explanation:

From the question, the length of the rectangular fence is 4 feet more than its width and the perimeter of the fence is less than 42 feet. The range of the lengths of the fence will be:

Length is greater than 4 feet (4 feet more than the width. This means that the length must be at least 4 feet) and less than 21 feet i.e the length must be less than 1/2 of the perimeter which is 42/2 = 21. Therefore, the answer will be:

4 feet < Length < 21 feet

Answer:

12.5

its right

Step-by-step explanation:

25 Uma conta de gás, no valor de R$ 48,00, com

vencimento para 13 de abril, trazia a seguinte

informação: "Se a conta for paga após o venci-

mento, incidirão sobre o seu valor multa de 2%

e juros de 0,033% ao dia, que serão incluídos na

conta futura".

Qual será o acréscimo a ser pago sobre o valor da

próxima conta por um consumidor que quitou o

débito em 17 de abril? E se ele tivesse atrasado

o dobro do número de dias para

Answers

Answer:

R$49.02

R$49.09

Step-by-step explanation:

Por não pagar a conta em dia, o valor de 2% de juros foi adicionado, o novo valor base passa a ser:

[tex]V = 1.02*48\\V=R\$48.96[/tex]

O valor a ser pago n dias após o dia 13 de abril é dado por:

[tex]P=48.96*(1+\frac{0.033}{100} )^n[/tex]

No dia 17 de abril, n =4 e o valor a ser pago é:

[tex]P=48.96*(1+\frac{0.033}{100} )^4\\P=R\$49.02[/tex]

Caso n =8, o valor a ser pago seria:

[tex]P=48.96*(1+\frac{0.033}{100} )^8\\P=R\$49.09[/tex]

help me please i need this done

Answers

Answer:

[tex]7n-6, \: 4n+8[/tex]

Step-by-step explanation:

[tex]+7[/tex] difference.

So it becomes [tex]7n[/tex].

[tex]7(1)+c=1[/tex]

[tex]c=-6[/tex]

Therefore, the nth term becomes:

[tex]7n-6[/tex]

[tex]+4[/tex] difference.

So it becomes [tex]4n[/tex].

[tex]4(1)+c=12[/tex]

[tex]c=8[/tex]

Therefore, the nth term becomes:

[tex]4n+8[/tex]

Answer:

a) 7n-6

b) 4n+8

Explanation:

a) 7 times tables but take away 6 for the start

b) 4 times tables but add 8 for the start

Which equation can be used to find x, the length of the hypotenuse of the right triangle? A triangle has side lengths 18, 24, x. 18 + 24 = x 18 squared + 24 = x (18 + 24) squared = x squared 18 squared + 24 squared = x squared

Answers

Answer:

A triangle has side lengths 18, 24, x.

18 + 24 = x

18 squared + 24 = x

(18 + 24) squared = x squared

18 squared + 24 squared = x squared

Step-by-step explanation:

The right triangle hypotenuse has its length 18² + 24² = x².

What is hypotenuse?

In a right triangle, the "side opposite to the right angle is hypotenuse".

According to the question,

In right angle triangle,  sides are 18, 24, x. Where 'x' is the hypotenuse  of the right angle triangle. In right angle the opposite angle is 90⁰ . In order

to find hypotenuse,  

18 + 24 = x

18² +24 =x

(18+  24) ² = x²

18² + 24² = x²

Hence, the right triangle hypotenuse has its length 18² + 24² = x².

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Is the graph increasing, decreasing, or constant?
O A. Increasing
ООО
B. Decreasing
O C. Constant

Answers

constant it will keep going up and it won't stop

In the graph, the line is increasing from left to right. Therefore, option A is the correct answer.

We need to check whether the given graph is increasing, decreasing, or constant.

How do you tell if a graph is increasing?

Increasing: A function is increasing, if as x increases (reading from left to right), y also increases. In plain English, as you look at the graph, from left to right, the graph goes uphill. The graph has a positive slope.

From the given graph we can see that the line is increasing from left to right.

In the graph, the line is increasing from left to right. Therefore, option A is the correct answer.

To learn more about the graphs visit:

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5. Jason works at a local fish and chips restaurant.
He earns $7/h during the week, and $9/h on the weekend.
a) Jason works 8 h during the week and 12 h on the weekend.
Write an expression for his earnings.
b) Jason works x hours during the week, and 5 h on the
weekend. Write an algebraic expression for his earnings.
c) Jason needs $115 to buy sports equipment.
He worked 5 h on the weekend.
How many hours does Jason need to work during the week to
have the money he needs?

Answers

Answer:

a) 7(8)+9 (12)

b)7x+45

c )10 hours

Step-by-step explanation:

Hi, to answer this question we have to write an expression

The amount earned by Jason must be equal to the product of the amount he earns per hour during the week (7) and the hours worked during the week (x) ; plus the product of the amount he earns per hour during the weekend ( 9) and the hours worked during the weekend (y):

7x+ 9y

a) substitute x=8 and y=12

7 (8)+ 9 (12)

b) substitute y =5

7 x +9(5) =

7x+ 45 =

c)

Substitute y=5 and the expression must be equal to the amount he needs to buy sports equipment (115):

7x+9 (5)=115

Solving for x:

7x + 45 =115

7x = 115-45

7x = 70

x =70/7

x =10 hours

On a coordinate plane, a parabola opens up in quadrant 1. It goes through (2, 12), has a vertex at (5, 3), and goes through (8, 12). Write the equation of the function whose graph is shown. y = (x + )2 +.

Answers

Answer:

Step-by-step explanation:

You have a vertex coordinate and 2 points. In order to write the equation for that parabola, you only need the vertex and one point. We will fill in the following work form of the parabola:

[tex]y=a(x-h)^2+k[/tex] , where h and k are from the vertex and x and y are from the point. Filling in:

[tex]12=a(8-5)^2+3[/tex] and

[tex]12=a(3)^2+3[/tex] and

[tex]12=9a+3[/tex] and

9 = 9a s0

a = 1.

Now we can write the equation, filling in a, the only unknown we had, which we now know is 1:

[tex]y=1(x-5)^2+3[/tex]

Answer:

y =  1 (x +  -5 )2 + 3

Step-by-step explanation:

The solution to this system of equations lies between the x-values -2 and -1.5. At which x-value are the two equations approximately equal?

Answers

Answer:

yes it's equal because, if -2 and 1.5 it's the same so it would be x=2.3

Step-by-step explanation:

2.4

Each handful of cheese covers 21 sqaure inches. How much handful of cheese they need to cover 5 slices of cheese with a area of 125.7in

Answers

Answer: 30

Step-by-step explanation:

Hi, to answer this question, first we have to multiply the number of slices of cheese (5) by the area of each slice (125.7)

125.7 (5) = 628.5 in2

Finally we have to divide that result by the area that each handful of cheese covers (21 in2)

628.5 / 21 = 29.92 = 30 handful of cheese

Feel free to ask for more if needed or if you did not understand something.  

Answer:

30

Step-by-step explanation:

EASY question for y’all mathy people. Easy points! Question in photo!

Answers

Answer:

B 1/7^2

D 7^-10 / 7^-8

Step-by-step explanation:

7^-2

We know that a^-2 = 1/a^2

1/7^2 = 1/49

We also know that anything with a power of 2 in the denominator is good

7^-8 / 7^-10 = 7^2  

7^-10 / 7^-8 = 7^-2 = 1/7^2 = 1/69  that is the second answer

Answer:

Step-by-step explanation:

Answers C and D are correct.  

                                     

Note that in C we have    7^(-8)

                                         ---------- ,  

                                          7^(-10)

which is equivalent to 7^(-8 + 10), or 7^2, or 49.

answer quick pls ill give 10

Answers

Answer:

60

Step-by-step explanation:

360-95-120-85=60

Given that p=9i+12j and q=-6i-8j. Evaluate |p-q|-{|p|-|q|}

Answers

Answer:

[tex]|p-q|-(|p|-|q|) = 20[/tex]

Step-by-step explanation:

First let's find the value of 'p-q':

[tex]p - q = 9i + 12j - (-6i - 8j)\\p - q = 9i + 12j + 6i + 8j\\p - q = 15i + 20j\\[/tex]

To find |p-q| (module of 'p-q'), we can use the formula:

[tex]|ai + bj| = \sqrt{a^{2}+b^{2}}[/tex]

Where 'a' is the coefficient of 'i' and 'b' is the coefficient of 'j'

So we have:

[tex]|p - q| = |15i + 20j| = \sqrt{15^{2}+20^{2}} = 25[/tex]

Now, we need to find the module of p and the module of q:[tex]|p| = |9i + 12j| = \sqrt{9^{2}+12^{2}} = 15[/tex]

[tex]|q| = |-6i - 8j| = \sqrt{(-6)^{2}+(-8)^{2}} = 10[/tex]

Then, evaluating |p-q|-{|p|-|q|}, we have:

[tex]|p-q|-(|p|-|q|) = 25 - (15 - 10) = 25 - 5 = 20[/tex]

b2 - 7b + 12 = 0
Factored equation: ( ) ( ) = 0
ANSWERS: b = ____, and b = ____

Answers

b2-7b+12=0
(b-3)(b-4)=0
b= 3 or 4

Answer: (b - 4)(b - 3); b = 4 and 3

Step-by-step explanation:

ima assume these are exponents since you didnt care to correctly write the equation.

What two numbers multiply to equal 12, but add to equal -7? That's -4 and -3

So the factored form of this trinomial is (b - 4)(b - 3) = 0. Make each of these expressions equal to 0 in order to get your answer.

What is the value of y?

Answers

I’m pretty sure it’s D.........

n+n+n=1 what is n?????​

Answers

Answer:

1/3

Step-by-step explanation:

If you add all the n's, it would make 3n=1.  Divide both sides by 3 and get n=1/3

Answer:

0.333 or 1/3

Step-by-step explanation:

0.333*3=1

A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The company paid for these costs and made combined profits of $80 million after 4 years, while profits increased $60 million per year. Select the correct graph of this function. A B C D

Answers

Step-by-step explanation:

Given a point (4,80) and a slope, m = 60, these can be used to formulate the equation of the graph. Using the point-slope formula:

y - y1 = m(x - x1)

y - 80 = 60(x - 4)

y - 80 = 60x - 240

y = 60x -160

Taking the x and y-intercepts:

At y = 0

0 = 60x - 160

x = 2.7

At x = 0

y = 60(0) - 160

y = -160

The answer is A. Hope this helps ✌️

Please help with this question​

Answers

Answer:

[tex]25[/tex]

Step-by-step explanation:

[tex]\frac{5^8 \times 5^{-2}}{5^4}[/tex]

[tex]\frac{5^{8+-2}}{5^4}[/tex]

[tex]\frac{5^{6}}{5^4}[/tex]

[tex]5^{6-4}[/tex]

[tex]5^2[/tex]

[tex]=25[/tex]

The difference of six times a number and seven results in 35.

Identify the steps necessary to solve the equation.

A.) Subtract 7, and then divide by 6.
B.) Divide by 6, and then subtract 7.
C.) Divide by 6, and then add 7.
D.) Add 7, and then divide by 6.
this is multiple choice

Answers

The difference of six times and seven results in 35.

Difference - subtract

Times - multiply

Result - answer

The subtraction of six multiplied by a number and (subtracting) seven gets you the answer of 35.

6x - 7 = 35

The answer would be...

B. Divide by 6, and then subtract by 7.

I need help people please help me

Answers

Answer:

Each Cup has 3/8

Step-by-step explanation:

Divide

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