document.write( "Question 558664: what's the inverse function of 5 to the power of x \n" ); document.write( "

Algebra.Com's Answer #363224 by lwsshak3(11628) $\"\"$ $\"About$

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what's the inverse function of 5 to the power of x
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\n" ); document.write( "y=5^x (exponential form)
\n" ); document.write( "To find inverse:
\n" ); document.write( "swap x & y
\n" ); document.write( "x=5^y
\n" ); document.write( "take log base5 of both sides
\n" ); document.write( "log(base5)(x)=log(base5)(5^y)
\n" ); document.write( "log(base5)(x)=y (log of base raised to a power=power)
\n" ); document.write( "or
\n" ); document.write( "y=log(base5)(x) (inverse of y=5^x)
\n" ); document.write( "note: for any base, the log function is the inverse of the exponential form \n" ); document.write( "

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