Question

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

Answer 1

Use the property of logarithms `log_c(f(x)) = log_b(f(x))/log_b(c)`

Explanation:

You can convert to

`y = 2 + ln(x - 2)/ln(6)` or `y = 2 + log_10(x - 2)/log_10(6)`

And generate your table of values using a calculator or spreadsheet.

Here is a graph using the first equation:

Using the second equation: