document.write( "Question 1195399: Solve for x in the equation 3^(2x-1)+2*3^(2x+1)=171 \n" ); document.write( "

Algebra.Com's Answer #827876 by greenestamps(13203) $\"\"$ $\"About$

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\n" ); document.write( " $\"3%5E%282x-1%29%2B2%2A3%5E%282x%2B1%29=171\"$

\n" ); document.write( "Make both exponents the same by rewriting $\"3%5E%282x%2B1%29\"$ as $\"%283%5E2%29%283%5E%282x-1%29%29\"$ .

\n" ); document.write( " $\"3%5E%282x-1%29%2B2%283%5E2%29%283%5E%282x-1%29%29=171\"$
\n" ); document.write( " $\"3%5E%282x-1%29%2B18%2A3%5E%282x-1%29=171\"$
\n" ); document.write( " $\"19%2A3%5E%282x-1%29=171\"$
\n" ); document.write( " $\"3%5E%282x-1%29=171%2F19=9=3%5E2\"$
\n" ); document.write( " $\"2x-1=2\"$
\n" ); document.write( " $\"2x=3\"$
\n" ); document.write( " $\"x=3%2F2\"$

\n" ); document.write( "ANSWER: x=3/2

\n" ); document.write( "CHECK:
\n" ); document.write( "2x-1=3-1=2
\n" ); document.write( "2x+1=3+1=4
\n" ); document.write( "3^2+2*3^4=9+2(81)=9+162=171

\n" ); document.write( " \n" ); document.write( "

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