Answer
$\log(0)$ has no solution. If $f(x)=log(x)$, $f(x)$ does not exist when $x≤0$ and approaches negative infinity as $x$ approaches $0$ from the right.
Work Step by Step
On calculator:
1) Check $log(0)$ has no solution.
2) Check $log(-1)$ has no solution
3) Check $log(0.01)=-2$, $log(0.00001)=-5$, $log(0.000000001)=-9$
4) Conclude that $log(x)$ approaches negative infinity as x approaches $0$ from the right.
Alternatively:
Graph $y=log(x)$ on calculator and conclude what happens to the function as $x$ approaches $0$.
