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Property 2

If log x + ...

Question

If $log (x + 4) - log (x - 4) = log 2$ , then the value of $x$ is equal to

A

4

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B

- 5

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C

- 2

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D

12

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Solution

The correct option is D $12$
$log (x + 4) - log (x - 4) = log 2 log (x + 4) = log 2 + log (x - 4) log (x + 4) = log 2 (x - 4) Removing log x + 4 = 2 x - 8 x = 12$

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