document.write( "Question 669914: solve
\n" ); document.write( "27^x=(1/243)^x-2 \n" ); document.write( "

Algebra.Com's Answer #416984 by lwsshak3(11628) $\"\"$ $\"About$

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solve
\n" ); document.write( "27^x=(1/243)^(x-2)
\n" ); document.write( "27^x=(243^-1)^(x-2)
\n" ); document.write( "27^x=(243^(2-x))
\n" ); document.write( "xlog27=(2-x)log243
\n" ); document.write( "x/(2-x)=log243/log27≈1.6667=5/3
\n" ); document.write( "x=(2-x)*5/3
\n" ); document.write( "3x=10-5x
\n" ); document.write( "8x=10
\n" ); document.write( "x=10/8
\n" ); document.write( "x=5/4=1.25 \n" ); document.write( "

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