document.write( "Question 826048: How do I solve, 3^(8-x) = 27^(2-x)
\n" ); document.write( "I'm having a hard time with this problem.. \n" ); document.write( "

Algebra.Com's Answer #497813 by LinnW(1048) $\"\"$ $\"About$

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$\"3%5E%288-x%29+=+27%5E%282-x%29\"$
\n" ); document.write( "Rework the right hand side.
\n" ); document.write( " $\"3%5E%288-x%29+=+%283%5E3%29%5E%282-x%29\"$
\n" ); document.write( "For the next line, in general $\"%28a%5En%29%5Em+=+a%5E%28n%2Am%29\"$
\n" ); document.write( " $\"3%5E%288-x%29+=+%283%29%5E%283%2A%282-x%29%29\"$
\n" ); document.write( " $\"3%5E%288-x%29+=+3%5E%28%286-3x%29%29\"$
\n" ); document.write( "Now we know 8 - x = 6 - 3x
\n" ); document.write( "Add 3x to each side.
\n" ); document.write( " 8 + 2x = 6
\n" ); document.write( "Subtract 8 from each side.
\n" ); document.write( " 2x = -2
\n" ); document.write( "So x = -1 \n" ); document.write( "

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