## Precalculus (10th Edition)

$(1,0), (a,1), \left(\frac{1}{a}, -1\right).$
The definition of the logarithmic function says that $y=\log_a{x}$ if and only if $a^y=x$. Also, $a\gt0,a\ne1$ and $x\gt0$. We know that $\log_a {1}=0$, $\log_a {a}=1$, $\log_a {\left(\frac{1}{a}\right)}=-1$, hence the points (by using the definition, e.g. in $\log_a {1}=0$: $x=1, y=0$) : $(1,0), (a,1), \left(\frac{1}{a}, -1\right).$