If log<sub>x</sub> y = 100 and log<sub>2</sub> x = 10, then the value of y is:
\[ \log_2 x = 10 \Rightarrow x = 2^{10} \] \[ \Rightarrow \log_{2^{10}} y = 100 \Rightarrow y = \left(2^{10}\right)^{100} \] \[ y = 2^{1000} \]
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