uptetd16p1 q92

0. If 9^2x-1 = 2⁵ - 5, then value of x is

A
2
B
C
D

Answer
Comment
Array

Option : D
Explanation : (D) 9^2x-1 = 2⁵ - 5
⇒ 9^2x-1 = 32 - 5
⇒ 9^2x-1 = 27
⇒ 3^2(2x-1) = 3³
Powers of same base are equal.
∴ 2(2x - 1) = 3
⇒ 4x - 2 = 3
⇒ 4x = 5
⇒ x = 5/4

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