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For what value of x, \( \Large 3^{3x - 5} = \frac{1}{9^x} \)?

A) 1
B) 3
C) 5
D) 9

Correct Answer:

A) 1

Description for Correct answer:

Given: \( \Large 3^{3x - 5} = \frac{1}{9^x} \)

\( \Large 3^{3x - 5} = \frac{1}{9^{-x}} \)

\( \Large 3^{3x - 5} = \frac{1}{3^{-2x}} \)

As we know \( \Large a^m = a^n => m = n \)

= > 3x - 5 = -2x

= > 3x + 2x = 5

= > 5x = 5

= > x = 1

Part of solved Number System questions and answers : >> Aptitude >> Number System

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