Solving Exponential Equations by Rewriting the Base

Question 1

Solve: 43x = 42

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C:

Question 2

Solve: 3,125 = 5–10 + 3x x =

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5

Question 3

Choose the correct equation.

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B: (72) 3x = (73) 2x+1

Question 4

To solve 493x = 3432x+1, write each side of the equation in terms of base .

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7

Question 5

Solve:

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B: a = 0

Question 6

Rewrite the given equation so there is a single power of 5,000 on each side. Then, set the exponents equal to each other. Which equation shows the result?

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A: 2 = 1

Question 7

Solve:

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B:

Question 8

Solve:

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C: a = 3

Question 9

Explain the error in the work shown. Find the correct answer.

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The error is that the bases were not rewritten to be the same. Since 16 = 4^2, the right side is (4^2)^(2a) = 4^(4a), not 2^(8a) when comparing with 4^-3. Thus -3 = 4a and the correct solution is a = -3/4.

Question 10

Which of the following did you include in your explanation?

Revolt · Accepted Answer

AssessCtrlcb0f040d-05b8-4d31-94d2-a985b0e97d70_1_A,AssessCtrlcb0f040d-05b8-4d31-94d2-a985b0e97d70_1_B,AssessCtrlcb0f040d-05b8-4d31-94d2-a985b0e97d70_1_C,AssessCtrlcb0f040d-05b8-4d31-94d2-a985b0e97d70_1_D

Solving Exponential Equations by Rewriting the Base Answers

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