document.write( "Question 835378: Find the inverse of the function g(x)= 5^(3x+1) - 6 \n" ); document.write( "

Algebra.Com's Answer #503490 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Switch to x,y representation.
\n" ); document.write( " $\"y=5%5E%283x%2B1%29-6\"$
\n" ); document.write( "Interchange x,y and solve for the new y.
\n" ); document.write( " $\"x=5%5E%283y%2B1%29-6\"$
\n" ); document.write( " $\"x%2B6=5%5E%283y%2B1%29\"$
\n" ); document.write( " $\"3y%2B1=log%285%2C%28x%2B6%29%29\"$
\n" ); document.write( " $\"3y=log%285%2C%28x%2B6%29%29-1\"$
\n" ); document.write( " $\"highlight_green%28y=%281%2F3%29%2A%28log%285%2C%28x%2B6%29%29-1%29%29\"$
\n" ); document.write( "This new y is the inverse of g(x). \n" ); document.write( "

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