document.write( "Question 223206: We are trying to solve the following problem:
\n" ); document.write( " $\"2%5Ex=5%5E%28x%2B1%29\"$
\n" ); document.write( "I understand that it is necessary to get the base the same, but I don't understand how to get 5 to a base of 2. \r
\n" ); document.write( "\n" ); document.write( "Thank you, in advance! \n" ); document.write( "

Algebra.Com's Answer #166951 by Alan3354(69443) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"2%5Ex=5%5E%28x%2B1%29\"$
\n" ); document.write( "Take the log of both sides
\n" ); document.write( " $\"log%282%5Ex%29+=+log%285%5E%28x%2B1%29%29\"$
\n" ); document.write( " $\"x%2Alog%282%29+=+%28x%2B1%29%2Alog%285%29\"$
\n" ); document.write( "log(2) and log(5) are just constants.
\n" ); document.write( "x*log(2) = x*log(5) + log(5)
\n" ); document.write( "x*log(2) - x*log(5) = log(5)
\n" ); document.write( "x*(log(2) - log(5)) = log(5)
\n" ); document.write( "x = log(5)/log(0.4)
\n" ); document.write( "x = ~ -1.75647\r
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