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If $4^{(m + 2)} = 16^{(m − 3)}$ , then $m =$

Answer Choices

Correct answer marked below

A

−8

B

0

C

6

D

-6

8

Correct

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Explanation

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Official Explanation

Official

Given:

4^{(m + 2)} = 16^{(m − 3)}

. Rewrite

16

as

4^2

to get:

4^{(m + 2)} = (4^2)^{(m − 3)}

. Apply the Power of a Power law: [m]4^{(m +…

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2

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C

ChristianJan 6, 2024

Tricky wording but good practice

유

유진Oct 16, 2024

cheers!

If $4^{(m + 2)} = 16^{(m − 3)}$ , then $m =$

Answer Choices

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Official Explanation

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What it tests

Common trap

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If 4(m+2)=16(m−3)4^{(m + 2)} = 16^{(m − 3)}4(m+2)=16(m−3), then m=m =m=

Answer Choices

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Official Explanation

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What it tests

Common trap

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If $4^{(m + 2)} = 16^{(m − 3)}$ , then $m =$