# How do you graph y=2+log_6(x-2)?

Nov 9, 2016

Use the property of logarithms ${\log}_{c} \left(f \left(x\right)\right) = {\log}_{b} \frac{f \left(x\right)}{\log} _ b \left(c\right)$

#### Explanation:

You can convert to

$y = 2 + \ln \frac{x - 2}{\ln} \left(6\right)$ or $y = 2 + {\log}_{10} \frac{x - 2}{\log} _ 10 \left(6\right)$

Here is a graph using the first equation:

Using the second equation: