document.write( "Question 1080363: 3^x + 9^x = 1/27 \n" ); document.write( "

Algebra.Com's Answer #694513 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"9%5Ex=%283%5E2%29%5Ex=%283%5Ex%29%5E2\"$
\n" ); document.write( "So then substituting $\"u=3%5Ex\"$ ,
\n" ); document.write( " $\"u%2Bu%5E2=1%2F27\"$
\n" ); document.write( " $\"u%5E2%2Bu%2B1%2F4=1%2F27%2B1%2F4\"$
\n" ); document.write( " $\"%28u%2B1%2F2%29%5E2=31%2F108\"$
\n" ); document.write( " $\"u%2B1%2F2=0+%2B-+sqrt%2831%2F108%29\"$
\n" ); document.write( " $\"u=-1%2F2+%2B-+sqrt%2831%2F108%29\"$
\n" ); document.write( " $\"3%5Ex=-1%2F2+%2B-+sqrt%2831%2F108%29\"$
\n" ); document.write( "Only positive right hand sides will give a real answer,
\n" ); document.write( " $\"3%5Ex=-1%2F2%2Bsqrt%2831%2F108%29\"$
\n" ); document.write( " $\"x=log%283%2C%28sqrt%2893%29%2F18-1%2F2%29%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"highlight%28x=log%28%28sqrt%2893%29%2F18-1%2F2%29%29%2Flog%28%283%29%29%29%29\"$
\n" ); document.write( " \n" ); document.write( "

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