Which logarithmic equation is equivalent to this exponential equation?

12=5^x

Which Logarithmic Equation Is Equivalent To This Exponential Equation? 12=5^x

Answers

Answer 1

Given:

The equation is:

[tex]12=5^x[/tex]

To find:

The logarithmic equation that is equivalent to the given exponential equation.

Solution:

According to the property of logarithm:

[tex]a=b^x\Leftrightarrow \log_b a=x[/tex]

We have,

[tex]12=5^x[/tex]

Here, [tex]a=12,b=5[/tex]. By using the above property of logarithm, we get

[tex]\log_{5}12=x[/tex]

[tex]x=\log_{5}12[/tex]

Therefore, the correct option is C.


Related Questions

Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

-4 x 3/2

Step-by-step explanation:

It will end up being -6 which is less than -4.

Tell me if it is wrong.

Have a nice day!

Answer:

We can use the numbers -4 and [tex]\frac{3}{2}[/tex] to get a product less than -4.

-4 x  [tex]\frac{3}{2}[/tex]  = -6

So, the answer is less than -4.

Please give Brainliest!

Have a great day!

The table shows the blood pressures of 16 clinic patients. What is the interquartile range of the data?

A) 7.75
B) 8.50
C) 9.25
D) 10.75​

Answers

I’ve attached my work below....
I ran out of space so the step 5 the last step is subtract q1 and q3 which step 3 and 4
So 90.9-81.8=9.1

The interquartile range of the data will be 9.1.

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

The table shows the blood pressures of 16 clinic patients.

Now,

Since, The data set is,

⇒ 81.6, 84.1, 87.6, 82.8, 82.0, 88.9, 86.7, 96.4, 84.6, 104.9, 90.8, 94.0, 69.4, 78.9, 75.2, 91.0

Arrange in ascending order as;

⇒ 69.4, 75.2, 78.9, 81.6, 82.0, 82.8, 84.1, 84.6, 86.7, 87.6, 88.9, 90.8, 91.0, 94.0, 96.4, 104.9

Clearly, There are 16 clinic patients.

Hence, The lower quartile (Q₁) = 81.6 + 82 / 2

                                               = 81.8

And, The Upper quartile (Q₃) = 90.8 + 91 / 2

                                             = 90.9

Thus, The interquartile range of the data = Q₃ - Q₁

                                                               = 90.9 - 81.8

                                                               = 9.1

Therefore, The interquartile range of the data = 9.1

Learn more about the subtraction visit:

https://brainly.com/question/17301989

#SPJ2

Erica babysits for 4 1/2 hours and is paid $27 . If the people she babysits for have $31.50 to pay her, how long can they stay out?

Answers

Answer:

5.25 hours or 5 1/4 hours

Step-by-step explanation:

According to the scenario, calculation of given data are as follows,

Total time = 4 1/2 hours or 270 mins

Total payment = $27

First we calculate the time for $1, then

So, $27 = 270 mins

$1 = 270 ÷ 27 = 10 mins

Now, we can calculate total time in $31.50 by using following formula,

Total time in $31.50 = 10 mins × 31.50

= 315 mins

= 5.25 hours or 5 1/4 hours

help needed asap will give brainliest

Answers

Answer:

the corect answer for this question is (-x,y)

Select the correct answer. What are the solutions of this quadratic equation?

6x^2 + 6 = 12x + 18

[tex]x = 1 + \sqrt{3} [/tex]
[tex]x = 2 + 2 \sqrt[]{3} [/tex]
[tex]x = 2 + \sqrt{6} [/tex]
[tex]x = - 1 \: and \: x = 3[/tex]


Answers

Answer:

x=1+√3

Step-by-step explanation:

Let's solve your equation step-by-step.

6x^2+6=12x+18

Step 1: Subtract 12x+18 from both sides.

6x^2+6−(12x+18)=12x+18−(12x+18)

6x^2−12x−12=0

For this equation: a=6, b=-12, c=-12

6x^2+−12x+−12=0

Step 2: Use quadratic formula with a=6, b=-12, c=-12.

x=−b±√b2−4ac/2a

x=−(−12)±√(−12)2−4(6)(−12)/2(6)

x=12±√432/12

x=1+√3

The current temperature is 48F. It is expected to drop 1.5F each hour. Determine how many hours the temperature will be 36 F.

Answers

Answer: 6 hours

Step-by-step explanation:

48/6 = 8

36/6 = 6

ASAPPPP
18. The steps used to solve the equation 2x + 8 = 20 for x are shown below.
2x + 8 = 20
Step I: 2x = 12
Step II: x = 6
Which property makes Step I true?
A. Division property of equality
B. Reflexive property of equality
C. Subtraction property of equality
D. Symmetric property of equality

Answers

Answer:

C. Subtraction property of equality

Step-by-step explanation:

I think the answer is B

In a trapezoid, the length of one base is equal to its height and the length of the other base is twice its height. If the height is 10 centimeters, what is the area of the trapezoid?
Explain how you found your answer.
Enter the correct answers in the boxes.

Answers

Answer:

150cm²

Step-by-step explanation:

In a trapezoid, the length of one base is equal to its height and the length of the other base is twice its height. If the height is 10 centimeters, what is the area of the trapezoid?

The formula for the area of a trapezoid = 1/2(a + b) h

Where a = Length of the first base

b = Length of the second base

h= height of the trapezoid

h = 10cm

The length of one base is equal to its height

Hence:

a = h = 10cm

The length of the other base is twice its height.

b = 2h

h = 10cm

b = 10 × 2 = 20cm

Therefore, the Area of the Trapezoid =

1/2 (20 + 10)10

1/2 × 30 × 10

= 150cm²


What is the range of fat grams for the five sandwiches?
A. 15
B. 16
O c. 21
D. 21.2
.
O E. 24

Answers

9, hope this helped :)

Which point does not pass through?
10 Points

Answers

Answer:

C  ( 9 , 15)

Step-by-step explanation:

The answer is c the point will not pass through the graph at points c(9,5)

1. Use the given key to answer the questions.
0.1
tenth
0.01
hundredth
0.001
thousandth
0.0001
ten-thousandth
a.
What number does this diagram represent?
b. Draw a diagram that represents 0.216.
c. Draw a diagram that represents 0.304.

Answers

Answer:

please where is the diagram

11 (6 - y) = ??


THANK YOUUU

Answers

Answer:

The Answer is gonna be 66-11y

EXPLANATION :

11 (6 - y)

11x6=66

11(y)=11y

So we will get 66-11y

can someone help me asap​

Answers

Answer:

so 414 so the 4 in the hounded coloum

1011 the one is in the tenths coloum

does this help you work out the over two

Step-by-step explanation:

*ANSWER THESE PROBLE
Show your work to earn credit for your solution.
1. When Carlos bought a new office phone, he borrowed $1,000 at a rate of 7% for 8 months.
How much interest did he pay?
Show your work here:
1 = Prt
Please help

Answers

Step-by-step explanation:

The interest will be $560

Find the minimum value of the function f(x) = 0.8x2 + 11.2x + 42 to the
nearest hundredth.

Answers

Answer:

The minimum value is 2.8.  The vertex is (-7, 2.8).

Step-by-step explanation:

Through the x^2 term we identify this as a quadratic function whose graph opens up.  The minimum value of this function occurs at the vertex (h, k).  The x-coordinate of the vertex is

        -b                                                    11.2

x = ---------             which here is x = - ------------ = -7

         2a                                                 2(0.8)

We need to calculate the y value of this function at x = -7.  This y-value will be the desired minimum value of the function.

Substituting -7 for x in the function f(x) = 0.8x^2 + 11.2x + 42 yields

f(-7) = 0.8(-7)^2 + 11.2(-7) + 42 = 2.8

The minimum value is 2.8.  The vertex is (-7, 2.8).

Choose the measure that best represents the data. Explain your reasoning.

12, 15, 16, 18, 20, 90

Answers

The measure that would best represent the data set is 17. This because 17 is the mid range number making it not the smallest but not the biggest
Hope this helps!

Watch help video
Which of the following equations represents a line that passes through the points
(2,0) and (1, -4)?
I. 4.x - y = 9
II. y +4 = 4(x + 0)
Neither
I only
II only
I and II

Answers

Answer:

I think neither

Step-by-step explanation:

Jennifer buys a desk on sale for $478.60. If the regular price was $684.00, what is the percentage of discount?

Answers

Answer:

30%

Step-by-step explanation:

Find the percent discount by dividing the change in the price by the original price:

(684 - 478.6) / 684

205.4 / 684

= 0.3

So, the percent discount was approximately 30%

A man has Rs 1900. he lent some of it at 5% p.a and rest at9% p.a. The total amount of interest which he got after4 years was Rs 580.Wwhat was the sum
ans= Rs650,Rs 1250​

Answers

Answer:

The sum is Rs 1,250 and Rs 650

Step-by-step explanation:

Let the amounts be represented as $x and $y

The sum of both is 1900

Thus;

x + y = 1,900 •••••(i)

Mathematically, the interest on the amount borrowed is;

I = PRT/100

where p is the principal, representing the amount borrowed

R is the rate

T is the time

for the first amount of $x ; we have interest as;

I = (x * 5 * 4)/100 = 20x/100

for the second, we have

I = (y * 9 * 4)/100 = 36y/100

The sum of both is 580

Thus;

20x/100 + 36y/100 = 580

20x + 36y = 58000 •••••(ii)

From equation i;

x = 1,900 - y

Substitute this into equation ii

We have this as;

20(1900-y) + 36y = 58,000

38000 - 20y + 36y = 58,000

16y = 58000 - 38000

16y = 20,000

y = 20,000/16

y = 1250

From equation 1;

x + y = 1900

x = 1900-y

x = 1900-1250

y = 650

Do you like math? If you do solve this simple equations
[tex]2 + 2 + 4 + 4 + 8 + 8 + 16 + 16[/tex]

Answers

uhhh it’s 60, right?

Answer:

60 ?

Step-by-step explanation:

PLEASE IM BEGGING SOMEONE TO HELP WITH SCALE FACTOR!!!!!!!

Answers

Answer:

Ratio that would go in box b.

ratio=16:36

Ratio that would go in box c.

is =64:216

Ratio that would go in box d.

is=2:7

This can be found by 8:343 which represents 2³:7³

Means D denotes to exponent

3-D ratio falls under c

So

ratio on box c is

4³:6³64:216

#4

Ratio on box D is 2:7 (Found at top)

#5

Box f is under 2-D

2²:7²

4:49

For box b

the ratio is

4²'6²=16:36

what is a non example substitution method?

Answers

Answer:

The substitution method consists of solving for in one of the equations, basically the one that is easiest, and substituting the resulting expression in the other. With this, the second equation is converted into a linear equation with one unknown, which is solved by simply solving for.

Step-by-step explanation:

l hope and this can help you

If a point at random, what is the probability that it will be in the shaded section. Give your answer as a fraction or a percentage to the hundredths

Answers

The diagram isn't attached. However, a rated diagram has been found and attached below.

Answer:

0.8611

Step-by-step explanation:

The probability of an event involves taking the ratio of the required measurement and the entire measurement.

Based on information on the attached circle, the shaded region of the circle takes 310° of the entire 360°

Choosing a point at random from which nside the circle ;

P(shaded portion) = shaded section / total measure of circle

P(shaded point) = 310 / 360 = 0.8611

821% of what number is 821?


(I'll mark brainliest if you give a valid answer)​

Answers

Answer:

100

Step-by-step explanation:

100×821/100= 821

so the answer is 100

A number multiplied by 7 is less than 21. Which of the following expressions correctly identifies this sentence?

Answers

Answer:

Step-by-step explanation:

Draw a line to match each fraction, decimal, or percent in Column A to the equivalent value in Column B.

A B
40/50 1 3/4
13% 1 11/20
1.75 0.13
155% 80%

Answers

Answer:

This is the answer

Step-by-step explanation:

40/50 - 80%

13% - 0.13

1.75 - 1 3/4

155% - 1 11/20

Hope this helps

Jane used a Venn diagram to sort shapes. Select a plane shape that belongs inside the overlap region of the diagram.

Answers

Answer:

c

Step-by-step explanation:


Which value of x makes the inequality true

Answers

Answer:

the answer is D

you would end up with 14% and 14 is in between 12 ns 18

Step-by-step explanation:

Find the inverse of the following function.
f(x) = + 12
OA (1) = x
= 1 – 12
OB. (v) = 12 - Foto
oc. 5- (6) = x3 – 12
OD. 1-() =
= 1 + 12

Answers

Answer:

c

Step-by-step explanation:

exchange y and x

then find y

Which of the following is equivalent to 16 ^3/4

Answers

Answer:

83/5

Step-by-step explanation:

83/5 would be equivalent to 16 3/4.

Answer:

8, or B on Edge.

Just took the quiz. Have a great day

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