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This question belongs to Arithmetic Ability Logarithm
Logarithm
?

If ax = by, then:

Answer & Solution
Correct Answer: Option C
$$\eqalign{ & {a^x} = {b^y} \cr & \Rightarrow \log {a^x} = \log {b^y} \cr & \Rightarrow x\log a = y\log b \cr & \Rightarrow {{\log a} \over {\log b}} = {y \over x} \cr} $$
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