If ${log}_{5} (x - 7) = 1$ , then value of $x$ is equal to

12

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13

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14

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15

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Solution

The correct option is A $12$
${log}_{5} (x - 7) = 1$

$∴ \frac{log (x - 7)}{log 5} = 1$ ....( ${log}_{b} a = \frac{log a}{log b}$ )
$∴ log (x - 7) = log 5$
$∴ x - 7 = 5$
$∴ x = 12$

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