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Given that a and b are integers, if $2^a*3^b=18^3$ , what is the sum of a and b?

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A

5

B

7

9

Correct

D

11

E

13

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Explanation

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Official Explanation

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We start with the equation

2^a*3^b=(3^2*2^1)^3

. This simplifies to

2^3*3^6

.…

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A

AndrésApr 8, 2024

Amazing

P

PrathamJan 5, 2025

greatt question!

Given that a and b are integers, if $2^a*3^b=18^3$ , what is the sum of a and b?

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Official Explanation

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Given that a and b are integers, if 2a∗3b=1832^a*3^b=18^32a∗3b=183, what is the sum of a and b?

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Official Explanation

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What it tests

Common trap

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Given that a and b are integers, if $2^a*3^b=18^3$ , what is the sum of a and b?