Answer
False
(change the LHS to make it true)
$\log(0.01)=-2$
Work Step by Step
As it stands, the LHS is undefined, because
the domain of a logarithmic function of the form $f(x)=\log_{b}x$
is the set of all POSITIVE real numbers.
So, the statement is false.
Let's change $-100$ to make it true.
Use the definition (p.456),
$y=\log_{b}x$ is equivalent to $b^{y}=x$.
Here, b=10.
$\log x=-2$ is equivalent to $10^{-2}=x$
so, to make the statement true, change $-100$ to 0.01 on the LHS
