If lo g_8 p = 25 and lo g_2 q = 5, then -

Answer: Option A

$$\begin{array}{rl}& \text{lo}{\text{g}}_8\text{p}=25\text{and lo}{\text{g}}_2\text{q}=5\\ & \Rightarrow \text{p = }{\text{8}}^{25}\text{and q}=2^5\\ & \Rightarrow \text{p = }{\left(2^3\right)}^{25}\text{ and q = }{2}^5\\ & \Rightarrow \text{p = }{\text{2}}^{75}\text{ and q = }{2}^5\\ & \Rightarrow \text{p = }{\left(2^5\right)}^{15}\text{ and q = }{2}^5\\ & \Rightarrow \text{ p = }{\text{q}}^{15}\end{array}$$