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If ax = by, then:

A. $$\log \frac{a}{b} = \frac{x}{y}$$

B. $$\frac{{\log a}}{{\log b}} = \frac{x}{y}$$

C. $$\frac{{\log a}}{{\log b}} = \frac{y}{x}$$

D. None of these

Answer: Option C

Solution(By Examveda Team)

$$\eqalign{ & {a^x} = {b^y} \cr & \Rightarrow \log {a^x} = \log {b^y} \cr & \Rightarrow x\log a = y\log b \cr & \Rightarrow {{\log a} \over {\log b}} = {y \over x} \cr} $$

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