document.write( "Question 878096: What is the inverse function of f(x)=log base 3 (125x)? Can you show the steps? \n" ); document.write( "

Algebra.Com's Answer #529821 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Use x and y nomenclature.
\n" ); document.write( " $\"y=log%283%2C%28125x%29%29\"$
\n" ); document.write( "Interchange $\"x\"$ and $\"y\"$ and solve for new $\"y\"$ .
\n" ); document.write( "This new $\"y\"$ is the inverse of the original function.
\n" ); document.write( " $\"x=log%283%2C%28125y%29%29\"$
\n" ); document.write( " $\"3%5Ex=125y\"$
\n" ); document.write( " $\"y=%281%2F125%29%2A3%5Ex\"$
\n" ); document.write( " $\"f%5E%28-1%29%28x%29=%281%2F125%29%2A3%5Ex\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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