# How do you solve log(x-5)=-2?

$x = 5.01$.
By defn. of $\log$ function, $\log t = m \iff t = {10}^{m}$
$\therefore \log \left(x - 5\right) = - 2 \Rightarrow x - 5 = {10}^{-} 2 = 0.01$
$\therefore x = 5 + 0.01 = 5.01$.