document.write( "Question 292991: How would you work this problem out?
\n" ); document.write( " Log base2x+ log base2(x-6)=4 \n" ); document.write( "

Algebra.Com's Answer #211510 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"log%282%2C%28x%29%29%2Blog%282%2C%28x-6%29%29=4\"$
\n" ); document.write( " $\"log%282%2C%28x%28x-6%29%29%29=4\"$
\n" ); document.write( " $\"x%28x-6%29=2%5E4=16\"$
\n" ); document.write( " $\"x%5E2-6x-16=0\"$
\n" ); document.write( "Factor,
\n" ); document.write( " $\"%28x-8%29%28x%2B2%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"x-8=0\"$
\n" ); document.write( " $\"x=8\"$
\n" ); document.write( ".
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\n" ); document.write( ".
\n" ); document.write( " $\"x%2B2=0\"$
\n" ); document.write( " $\"x=-2\"$
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\n" ); document.write( "Verify the solutions.
\n" ); document.write( " $\"log%282%2C%28x%29%29%2Blog%282%2C%28x-6%29%29=4\"$
\n" ); document.write( " $\"log%282%2C%288%29%29%2Blog%282%2C%288-6%29%29=4\"$
\n" ); document.write( " $\"3%2Blog%282%2C%282%29%29=4\"$
\n" ); document.write( " $\"3%2B1=4\"$
\n" ); document.write( " $\"4=4\"$
\n" ); document.write( "True, it's a good solution.
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\n" ); document.write( " $\"log%282%2C%28-2%29%29%2Blog%282%2C%28-2-6%29%29=4\"$
\n" ); document.write( " $\"log%282%2C%28-2%29%29%2Blog%282%2C%28-8%29%29=4\"$
\n" ); document.write( "Log arguments must be positive.
\n" ); document.write( "This solution is not valid.
\n" ); document.write( "Only one solution, $\"highlight_green%28x=8%29\"$
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