document.write( "Question 122246: Solve: 9^(3x-1)=81^(-x+1) \n" ); document.write( "

Algebra.Com's Answer #89738 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"9%5E%283x-1%29=81%5E%28-x%2B1%29\"$
\n" ); document.write( " $\"9%5E%283x-1%29=%289%5E2%29%5E%28-x%2B1%29\"$ Substitute for 81.
\n" ); document.write( " $\"9%5E%283x-1%29=%289%5E%282%2A%28-x%2B1%29%29%29\"$ Rule for multiplying exponents.
\n" ); document.write( " $\"%283x-1%29=2%2A%28-x%2B1%29\"$ Take log base 9 of each side.
\n" ); document.write( " $\"3x-1=-2x%2B2\"$
\n" ); document.write( " $\"5x=3\"$
\n" ); document.write( " $\"x=3%2F5\"$
\n" ); document.write( "Check your answer.
\n" ); document.write( " $\"9%5E%283x-1%29=81%5E%28-x%2B1%29\"$
\n" ); document.write( " $\"9%5E%283%283%2F5%29-1%29=81%5E%28%28-3%2F5%29%2B1%29\"$
\n" ); document.write( " $\"9%5E%289%2F5-5%2F5%29=81%5E%282%2F5%29\"$
\n" ); document.write( " $\"9%5E%284%2F5%29=81%5E%282%2F5%29\"$
\n" ); document.write( " $\"5.80=5.80\"$ \n" ); document.write( "

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