document.write( "Question 528654: 9^x*3^(x2)=81^2 \n" ); document.write( "

Algebra.Com's Answer #349363 by lwsshak3(11628) $\"\"$ $\"About$

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Solve for x
\n" ); document.write( "9^x*3^(x2)=81^2
\n" ); document.write( "(3^2)^x*3^x^2=(3^4)^2
\n" ); document.write( "3^2x*3^x^2=3^8
\n" ); document.write( "3^(2x+x^2)=3^8
\n" ); document.write( "2x+x^2=8
\n" ); document.write( "x^2+2x-8=0
\n" ); document.write( "(x+4)(x-2)=0
\n" ); document.write( "x=-4
\n" ); document.write( "or
\n" ); document.write( "x=2 \n" ); document.write( "

\n" );