SOLUTION: Given a function g(x)=3^x, find the equation for its inverse, g^-1(x).

Algebra ->  Inverses -> SOLUTION: Given a function g(x)=3^x, find the equation for its inverse, g^-1(x).      Log On


   

Question 31612: Given a function g(x)=3^x, find the equation for its inverse, g^-1(x).
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Your equation can be written y=3^x
Interchange "x" and "y" to form the inverse.
You get x=3^y
Now, solve for "y":
y= the exponent of 3 that gives you the value "x".
This is usually written as follows:
y=log(base 3) x
Cheers,
Stan H.