If a x = b y , then: Options: A . &nbsp $\log\frac{a}{b}=\frac{x}{y}$ B . &nbsp $\frac{\log a}{\log b}=\frac{x}{y}$ C . &nbsp $\frac{\log a}{\log b}=\frac{y}{x}$ D . &nbspNone of these

If ax = by, then:

Question

If a^x = b^y, then:

Options:

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

a^x = b^y

log a^x = log b^y

x log a = y log b

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

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Ritika 2017-06-23 01:42:39

Really helpfull

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