# How do you show that the slope of #a^y=b^x# is #log_a b#?

##### 1 Answer

Dec 18, 2015

I used some properties of logs:

#### Explanation:

Let us try to isolate

use the fact that:

so that you get:

or rearranging:

we can use the change of base in reverse to get:

and we get:

which is in the form

with