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### Question

What is x if log_{x}(y) = 6 and log_{2}(x) = 5?

**A**

6^{32}.

**B**

$√32$.

**C**

$√{6/5}$.

**D**

$√{5/6}$.

**Soln.**

**Ans: a**

By definition, log_{2}(x) = 5 gives x = 2^{5} = 32. We are also given log_{x}(y) = 6, which gives y = 6^{x} = 6^{32}.