document.write( "Question 641762: 9^(x-1)*81^(2x-1) =27^(3x-2) \n" ); document.write( "

Algebra.Com's Answer #403786 by Earlsdon(6294) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve for x:
\n" ); document.write( " $\"9%5E%28x-1%29%2A81%5E%282x-1%29+=+27%5E%283x-2%29\"$
\n" ); document.write( "First, find the common base, that's 3:
\n" ); document.write( " $\"%283%5E2%29%5E%28x-1%29%2A%283%5E4%29%5E%282x-1%29+=+%283%5E3%29%5E%283x-2%29\"$ Simplify:
\n" ); document.write( " $\"3%5E%282x-2%29%2A3%5E%288x-4%29+=+3%5E%289x-6%29\"$ Simplify more:
\n" ); document.write( " $\"3%5E%2810x-6%29+=+3%5E%289x-6%29\"$ Now since the bases are equal, the exponents must be equal, so...
\n" ); document.write( " $\"10x-6+=+9x-6\"$ Solve for x:
\n" ); document.write( " $\"x-6+=+-6\"$
\n" ); document.write( " $\"highlight%28x+=+0%29\"$
\n" ); document.write( " \n" ); document.write( "

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