What is the value of x, if ((3/5)x = 125/27)?

What is the value of x, if ((3/5)^x = 125/27)?

A 3

B 2

C -3

D -2

Solution

Correct Answer: Option C

(3/5)^x = 125/27

বা, (3/5)^x = (5/3)³

বা, (3/5)^x = (3/5)^-3বা, x = -3