The value of _5 ( 125 ) ( 625 )25 is equal to -

Answer: Option B

$$\begin{array}{rl}& \text{lo}{\text{g}}_5\frac{\left(125\right)\left(625\right)}{25}\\ & =\text{lo}{\text{g}}_5\left(\frac{5^3\times 5^4}{5^2}\right)\\ & =\text{lo}{\text{g}}_5{5}^5\\ & \text{ = 5lo}{\text{g}}_{5}5\\ & =5\end{array}$$