Question

In which line can you reflect the graph of `y = a^x` in order to get the graph of the inverse function `y = log_a x` ?

Answer 1

`y=x`

Explanation:

Notice that reflecting the graph of a function in the line `y=x` has the effect of swapping `x` and `y`.

So the graph of `y = a^x` becomes the graph of `x = a^y`.

Then taking the logarithm base `a` of both sides, this becomes `log_a x = y`, i.e. `y = log_a x`