Solving Exponential Equations by Rewriting the Base

Question 1

Solve: 62x - 3 = 6-2x+1

Revolt · Accepted Answer

x = 1

Question 2

Solve: 3,125 = 5–10 + 3x x =

Revolt · Accepted Answer

5

Question 3

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

Revolt · Accepted Answer

7

Question 4

Choose the correct equation.

Revolt · Accepted Answer

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

Question 5

Solve:

Revolt · Accepted Answer

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?

Revolt · Accepted Answer

2 = 1

Question 7

Solve:

Revolt · Accepted Answer

x = 0

Question 8

Solve:

Revolt · Accepted Answer

a = 3

Question 9

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

Revolt · Accepted Answer

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

Solve: 493x = 3432x+1

Revolt · Accepted Answer

no solution

Solving Exponential Equations by Rewriting the Base Answers

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