Answer
$x = 22$
Work Step by Step
$\log(x-2)+\log 5 = \log 100$
$\log [5(x-2)] = \log 100$
$\log (5x - 10) = \log 100$
$5x - 10 = 100$
$5x = 100 + 10$
$5x = 110$
$x = \frac{110}{5}$
$x = 22$
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