document.write( "Question 668382: Find the inverse of f(x)=2^x. Here is where I went with this. Change f(x) to y so it would read y=2^x. Interchange the y and x to get x=2^y. I don't know how to write this on here, but you would take the y square root of x and the y square root of 2^y to get y square root of x=2. This is where I get stuck. Thanks! \n" ); document.write( "
Algebra.Com's Answer #415508 by Edwin McCravy(20059)\"\" \"About 
You can put this solution on YOUR website!
Find the inverse of f(x)=2^x. Here is where I went with this. Change f(x) to y so it would read y=2^x. Interchange the y and x to get x=2^y.
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document.write( "You did fine that far.\r\n" );
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document.write( "Now with x = 2y we use the rule of equivalence of logarithms:\r\n" );
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document.write( "The exponential equation A = BC is equivalent to the logarithm equation C = logBA.\r\n" );
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document.write( "Use that to change the exponential equation x = 2y to: \r\n" );
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document.write( "y = log2x\r\n" );
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document.write( "Then change y to f-1(x):\r\n" );
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document.write( "f-1(x) = log2x\r\n" );
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document.write( "Edwin
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