# How do you graph y=log_4(x-7)+9?

General case: $\text{ } {\log}_{a} \left(x\right) = {\log}_{b} \frac{x}{\log} _ b \left(a\right)$
So $y = {\log}_{4} \left(x - 7\right) + 9$ is the same as:
$y = {\log}_{10} \frac{x - 7}{\log} _ 10 \left(4\right) + 9$