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

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Question 1195409: f(x)=log3x find the inverse of the function
Answer by math_tutor2020(3817) About Me  (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 is where b > 0 and b+%3C%3E+1

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.