document.write( "Question 615456: solve for x to the nearest tenth 3^(2x)=5 \n" ); document.write( "

Algebra.Com's Answer #387183 by dfrazzetto(283) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"3%5E%282x%29=5\"$
\n" ); document.write( "

\n" ); document.write( "take the logarithm of both sides:
\n" ); document.write( "

\n" ); document.write( " $\"log%283%5E%282x%29%29=log%285%29\"$
\n" ); document.write( "

\n" ); document.write( "exponent property;
\n" ); document.write( "

\n" ); document.write( "2x(log(3)) = log(5)
\n" ); document.write( "

\n" ); document.write( "2x = log(5) / (log(3))
\n" ); document.write( "

\n" ); document.write( "x = log(5) / (2log(3)) = 0.73248676 \n" ); document.write( "

\n" );