document.write( "Question 457441: What is the process of solving this 5^(x-6)=29? \n" ); document.write( "

Algebra.Com's Answer #313841 by nerdybill(7384) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"5%5E%28x-6%29=29\"$
\n" ); document.write( "we take log base 5 of both sides:
\n" ); document.write( " $\"log%285%2C5%5E%28x-6%29%29+=+log%285%2C29%29\"$
\n" ); document.write( " $\"x-6+=+log%285%2C29%29\"$
\n" ); document.write( "apply \"change of base\"
\n" ); document.write( " $\"x-6+=+log%2829%29%2Flog%285%29\"$
\n" ); document.write( " $\"x+=+log%2829%29%2Flog%285%29+%2B+6\"$
\n" ); document.write( " $\"x+=+2.092+%2B+6\"$
\n" ); document.write( " $\"x+=+8.092\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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