# How do you graph y=log_7(x-4)+4?

Dec 5, 2016

To convert bases from base "c" to base "b", use the identity: ${\log}_{c} \left(f \left(x\right)\right) = {\log}_{b} \frac{f \left(x\right)}{\log} _ b \left(c\right)$

#### Explanation:

Most calculators have a base 10 logarithm key and a natural logarithm key so here is the given equation converted to both bases:

$y = {\log}_{10} \frac{x - 4}{\log} _ 10 \left(7\right) + 4$

$y = \ln \frac{x - 4}{\ln} \left(7\right) + 4$

Here is the graph: