document.write( "Question 748069: $\"+%28log+%28+3%2C+x+%29%29%5E2+-+log+%283%2C+x+%29+=+3+\"$ \n" ); document.write( "

Algebra.Com's Answer #457660 by lwsshak3(11628) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"%28log%283%2C%28x%29%29%29%5E2-log%283%2C%28x%29%29=3\"$
\n" ); document.write( " $\"let+u=log%283%2C%28x%29%29\"$
\n" ); document.write( " $\"u%5E2=%28log%283%2C%28x%29%29%29%5E2\"$
\n" ); document.write( "u^2-u-3=0
\n" ); document.write( "solve by quadratic formula:
\n" ); document.write( "u≈-1.303 (reject, log>0)
\n" ); document.write( "u≈2.303= $\"log%283%2C%28x%29%29\"$
\n" ); document.write( "x=3^2.303≈12.51
\n" ); document.write( "..
\n" ); document.write( "Check:
\n" ); document.write( " $\"%28log%283%2C%28x%29%29%29%5E2-log%283%2C%28x%29%29\"$ =(2.30)^2-2.30≈3
\n" ); document.write( " \n" ); document.write( "

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