9²ˣ⁻⁵ = 1/27 হলে, x এর মান কত?

A 7/4

B 5/4

C 3/4

D 9/4

Solution

Correct Answer: Option A

9²ˣ⁻⁵ = 1/27
9 = 3², 27 = 3³
(3²)²ˣ⁻⁵ = 3⁻³
3⁴ˣ⁻¹⁰ = 3⁻³
4x - 10 = -3
4x = 7
x = 7/4

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