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Property 2

If log a + ...

Question

If $log (a + 1) = log (4 a - 3) - log 3$ , then the value of $a$ is

3

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6

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8

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Solution

The correct option is B $6$
$log (a + 1) = log (4 a - 3) - log 3$
$∴ log (a + 1) = log \frac{4 a - 3}{3}$ .....( $log \frac{a}{b} = log a - log b$ )
$∴ a + 1 = \frac{4 a - 3}{3}$
$∴ 3 a + 3 = 4 a - 3$
$∴ a = 6$

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Similar questions

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