document.write( "Question 969072: solve for X.
\n" ); document.write( "log(X)-3log(X)=-2log2 \n" ); document.write( "

Algebra.Com's Answer #592071 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"log%28x%29-3log%28x%29=-2log%282%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"log%28x%29-log%28x%5E3%29=log%282%5E%28-2%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"log%28%28x%2Fx%5E3%29%29=log%28%281%2F2%5E2%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"log%28%28cross%28x%291%2Fx%5Ecross%283%29%5E2%29%29=log%28%281%2F4%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"log%28%281%2Fx%5E2%29%29=log%28%281%2F4%29%29\"$ ...if log same, then\r
\n" ); document.write( "\n" ); document.write( " $\"1%2Fx%5E2=%281%2F4%29\"$ ....cross multiply\r
\n" ); document.write( "\n" ); document.write( " $\"1%2A4=1%2Ax%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2=4\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=2\"$ or $\"x=-2\"$ => disregard negative solution because log of negative number is $\"undefined\"$ \r
\n" ); document.write( "\n" ); document.write( "so, your answer is: $\"x=2\"$ \r
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