document.write( "Question 353796: 3^2x+3^x-2=0 \n" ); document.write( "

Algebra.Com's Answer #252906 by robertb(5830) $\"\"$ $\"About$

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The equation is actually a quadratic equation in $\"3%5Ex\"$ . It is factorable.
\n" ); document.write( " $\"3%5E%282x%29%2B3%5Ex-2=0\"$ ,
\n" ); document.write( " $\"%283%5Ex%2B2%29%2A%283%5Ex-1%29=0\"$ ,
\n" ); document.write( "This means $\"3%5Ex+%2B+2=0\"$ , or $\"3%5Ex+-+1=0\"$ . The first equation has no solution, because $\"3%5Ex+%2B+2%3E0\"$ , while the second gives
\n" ); document.write( " $\"3%5Ex+=+1\"$ . Only $\"x=0\"$ will satisfy this equation. \n" ); document.write( "

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