document.write( "Question 105766: Solve 1/2log(4x+5) = logx \n" ); document.write( "

Algebra.Com's Answer #76920 by HyperBrain(694) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"1%2F2log%284x%2B5%29+=+log%28x%29\"$
\n" ); document.write( " $\"log%28%284x%2B5%29%5E%281%2F2%29%29=log%28x%29\"$
\n" ); document.write( " $\"%284x%2B5%29%5E%281%2F2%29=x\"$
\n" ); document.write( " $\"%28%284x%2B5%29%5E%281%2F2%29%29%5E2=x%5E2\"$
\n" ); document.write( " $\"4x%2B5=x%5E2\"$
\n" ); document.write( " $\"x%5E2-4x-5=0\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "By the quadratic formula,\r
\n" ); document.write( "\n" ); document.write( " $\"x=%284%2B-sqrt%284%5E2-4%2A1%2A%28-5%29%29%29%2F%282%2A1%29\"$
\n" ); document.write( " $\"x=%284%2B-sqrt%2816%2B20%29%29%2F%282%29\"$
\n" ); document.write( " $\"x=%284%2B-sqrt%2836%29%29%2F%282%29\"$
\n" ); document.write( " $\"x=%284%2B-+6%29%2F%282%29\"$
\n" ); document.write( " $\"x=%284%2B6%29%2F%282%29\"$ or $\"x=%284-6%29%2F%282%29\"$
\n" ); document.write( " $\"x=10%2F2\"$ or $\"x=-2%2F2\"$
\n" ); document.write( " $\"x=5\"$ or $\"x=-1\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Power up,
\n" ); document.write( "HyperBrain! \n" ); document.write( "

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