SOLUTION: f(x)=log3x find the inverse of the function

Question 1195409: f(x)=log3x find the inverse of the function

Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!

I'm assuming you meant to say

where the '3' is a subscript.

If so, then the inverse is

because exponential functions undo logarithmic ones, and vice versa.

Note that 3 is the base of the log and it's also the base of the exponential.

In general, the inverse of

where b > 0 and

Graph:

Notes:

One curve is a reflection of the other. The mirror line is y = x
The domain and range swap roles between the original and the inverse function.

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