document.write( "Question 242396: solve for x
\n" ); document.write( "log_2(3-x)+log_2(1-2x)=5 \n" ); document.write( "

Algebra.Com's Answer #177437 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"log%282%2C%283-x%29%29%2Blog%282%2C%281-2x%29%29=5\"$
\n" ); document.write( " $\"log%282%2C%28%283-x%29%281-2x%29%29%29=5\"$
\n" ); document.write( " $\"%283-x%29%281-2x%29=2%5E5\"$
\n" ); document.write( " $\"3-6x-x%2B2x%5E2=32\"$
\n" ); document.write( " $\"2x%5E2-7x-29=0\"$
\n" ); document.write( "Use the quadratic formula,
\n" ); document.write( " $\"x+=+%28-%28-7%29+%2B-+sqrt%28+%28-7%29%5E2-4%2A%282%29%2A%28-29%29+%29%29%2F%282%2A2%29+\"$
\n" ); document.write( " $\"x+=+%287+%2B-+sqrt%28+281+%29%29%2F%284%29+\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"x=5.941\"$
\n" ); document.write( " $\"x=-2.441\"$
\n" ); document.write( "Check the solutions,
\n" ); document.write( " $\"log%282%2C%283-x%29%29%2Blog%282%2C%281-2x%29%29=5\"$
\n" ); document.write( " $\"log%282%2C%28-2.941%29%29%2Blog%282%2C%28-10.882%29%29=5\"$
\n" ); document.write( "Negative arguments for logs are not allowed.
\n" ); document.write( "x=5.941 is not a solution.
\n" ); document.write( " $\"log%282%2C%283-x%29%29%2Blog%282%2C%281-2x%29%29=5\"$
\n" ); document.write( " $\"log%282%2C%285.441%29%29%2Blog%282%2C%285.882%29%29=5\"$
\n" ); document.write( " $\"2.4439%2B2.5563=5\"$
\n" ); document.write( " $\"4.9999=5\"$
\n" ); document.write( "Close enough.
\n" ); document.write( "x=-2.441
\n" ); document.write( " \n" ); document.write( "

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