document.write( "Question 373563: Solve the exponential equation.
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\n" ); document.write( "3^(x^2+5x) = 1/81 \n" ); document.write( "

Algebra.Com's Answer #265855 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Note that $\"1%2F81+=+1%2F%283%5E4%29\"$
\n" ); document.write( " $\"1%2F%283%5E4%29+=+3%5E%28-4%29\"$
\n" ); document.write( "So, now I can write
\n" ); document.write( " $\"3%5E%28x%5E2+%2B+5x%29+=+3%28-4%29\"$
\n" ); document.write( " $\"x%5E2+%2B+5x+=+-4\"$
\n" ); document.write( "Solve by completing square
\n" ); document.write( " $\"x%5E2+%2B+5x+%2B+%285%2F2%29%5E2+=+-4+%2B+%285%2F2%29%5E2\"$
\n" ); document.write( " $\"%28x+%2B+5%2F2%29%5E2+=+25%2F4+-+16%2F4\"$
\n" ); document.write( " $\"%28x+%2B+5%2F2%29%5E2+=+%283%2F2%29%5E2\"$
\n" ); document.write( " $\"x+%2B+5%2F2+=+3%2F2\"$
\n" ); document.write( " $\"x+=+-+1\"$
\n" ); document.write( "and also
\n" ); document.write( " $\"x+%2B+5%2F2+=+-3%2F2\"$
\n" ); document.write( " $\"x+=+-4\"$
\n" ); document.write( "check the answers:
\n" ); document.write( " $\"3%5E%28x%5E2%2B5x%29+=+1%2F81\"$
\n" ); document.write( " $\"3%5E%281+%2B+5%2A%28-1%29%29+=+1%2F81\"$
\n" ); document.write( " $\"3%5E%28-4%29+=+3%5E%28-4%29\"$
\n" ); document.write( "OK
\n" ); document.write( "and also
\n" ); document.write( " $\"3%5E%28%28-4%29%5E2+%2B+5%2A%28-4%29%29+=+1%2F81\"$
\n" ); document.write( " $\"3%5E%2816+-+20%29+=+3%5E%28-4%29\"$
\n" ); document.write( " $\"3%5E%28-4%29+=+3%5E%28-4%29\"$
\n" ); document.write( "OK \n" ); document.write( "

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