If logx y = 100 and log2 x = 10, then the value of y is:

Answer: Option C

$$\begin{array}{rl}& {\log }_{2}x=10\Rightarrow x=2^{10}\\ & \therefore {\log }_{x}y=100\\ & \Rightarrow y=x^{100}\\ & \Rightarrow y={\left(2^{10}\right)}^{100}\left[\text{put}\text{value}\text{of}x\right]\\ & \Rightarrow y=2^{1000}\end{array}$$