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Logarithmic Inequalities

If log a3 -...

Question

If $log (a)^{3} - log a$ = $m log a$ , then the value of $m$ is

A

1

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B

3

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C

2

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D

4

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Solution

The correct option is D $2$
$log (a)^{3} - log a = log (\frac{a^{3}}{a})$
= $log a^{2} = 2 log a$ ...( $log \frac{a}{b} = log a - log b$ )
$∴ m = 2$

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