ISEE Word Problems Question 159: Answer and Explanation

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Question: 159

6. If 81³ = 3^x, then x =

A. 9
B. 12
C. 27
D. 30

Correct Answer: B

Explanation:

The answer is B

Simplify 81³ to a base of 3 so the terms have the same base. 81 = 3⁴ so 81³ = (3⁴)³. When an exponential term is raised to a power, multiply the exponents. (3⁴)³ = 3¹². Thus, x = 12.

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