If (125)^x = 3125, then the value of x is?

A. $$\frac{1}{5}$$

B. $$\frac{3}{5}$$

C. $$\frac{5}{3}$$

D. $$\frac{5}{7}$$

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & {\left( {125} \right)^x} = 3125 \cr & \Rightarrow {\left( {{5^3}} \right)^x} = {\left( 5 \right)^5} \cr & \Rightarrow {\left( 5 \right)^{3x}} = {\left( 5 \right)^5} \cr & \Rightarrow 3x = 5 \cr & \Rightarrow x = \frac{5}{3} \cr} $$