Solve for x: 3^(2x – 1) = 27^(x – 2).

A3

B4

C5

D6

Explanation

27 = 3^3 => 3^(2x – 1) = (3^3)^(x – 2) = 3^(3x – 6). Bases equal => 2x – 1 = 3x – 6 => 3x – 2x = 6 – 1 => x = 5.

Exam Relevance

Topic: Algebra
Subtopic: Exponents

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