document.write( "Question 863620: Solve 9^x^2=27^x+3\r
\n" ); document.write( "\n" ); document.write( "Solve log(2x+1)=1-log(x-1) \n" ); document.write( "

Algebra.Com's Answer #520540 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"9%5E%28x%5E2%29=27%5E%28x%2B3%29\"$
\n" ); document.write( " $\"%283%5E2%29%5E%28x%5E2%29=%283%5E3%29%5E%28x%2B3%29\"$
\n" ); document.write( " $\"%283%29%5E%282x%5E2%29=%283%29%5E%283%28x%2B3%29%29\"$
\n" ); document.write( " $\"2x%5E2=3%28x%2B3%29\"$
\n" ); document.write( " $\"2x%5E2=3x%2B9\"$
\n" ); document.write( " $\"%28x-3%29%282x%2B3%29=0\"$
\n" ); document.write( "Two solutions:
\n" ); document.write( " $\"x-3=0\"$
\n" ); document.write( " $\"x=3\"$
\n" ); document.write( "and
\n" ); document.write( " $\"2x%2B3=0\"$
\n" ); document.write( " $\"2x=-3\"$
\n" ); document.write( " $\"x=-3%2F2\"$
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( " $\"log%282x%2B1%29=1-log%28x-1%29\"$
\n" ); document.write( " $\"log%282x%2B1%29%2Blog%28x-1%29=1\"$
\n" ); document.write( " $\"log%28%282x%2B1%29%28x-1%29%29=1\"$
\n" ); document.write( " $\"%282x%2B1%29%28x-1%29=10\"$
\n" ); document.write( " $\"2x%5E2-2x%2Bx-1=10\"$
\n" ); document.write( " $\"2x%5E2-x-11=0\"$
\n" ); document.write( " $\"2%28x%5E2-x%2F2%29=11\"$
\n" ); document.write( " $\"2%28x%5E2-x%2F2%2B1%2F16%29=11%2B1%2F8\"$
\n" ); document.write( " $\"2%28x-1%2F4%29%5E2=89%2F8\"$
\n" ); document.write( " $\"%28x-1%2F4%29%5E2=89%2F16\"$
\n" ); document.write( " $\"x-1%2F4=0+%2B-+sqrt%2889%29%2F4\"$
\n" ); document.write( " $\"x=1%2F4+%2B-+sqrt%2889%29%2F4\"$
\n" ); document.write( "Since (2x+1) is the argument of a log function, $\"2x%2B1%3E0\"$ or $\"x%3E-1%2F2\"$ , so we will ignore the negative solution.
\n" ); document.write( " $\"x=1%2F4%2Bsqrt%2889%29%2F4\"$
\n" ); document.write( " $\"x=%281%2Bsqrt%2889%29%29%2F4\"$ \r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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