document.write( "Question 61475: Solve, expressing answer in exact form.
\n" ); document.write( "[(e^x)^3 * (e^x)^2x] / e^5 = 1 \n" ); document.write( "

Algebra.Com's Answer #42334 by joyofmath(189) $\"\"$ $\"About$

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Solve, expressing answer in exact form.
\n" ); document.write( " $\"%28%28e%5Ex%29%5E3+%2A+%28e%5Ex%29%5E%282x%29%29+%2F+e%5E5+=+1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28e%5Ex%29%5E3+=+e%5E%283x%29\"$
\n" ); document.write( " $\"%28e%5Ex%29%5E%282x%29+=+e%5E%282x%5E2%29\"$ \r
\n" ); document.write( "\n" ); document.write( "So, the original equation becomes: $\"e%5E%283x%29+%2A+e%5E%282x%5E2%29+=+e%5E5\"$ .
\n" ); document.write( "This is also: $\"e%5E%282x%5E2%2B3x%29+=+e%5E5\"$
\n" ); document.write( "So, $\"2x%5E2%2B3x=5\"$
\n" ); document.write( "Or, $\"2x%5E2%2B3x-5=0\"$ .
\n" ); document.write( "This factors into $\"%282x%2B5%29%28x-1%29\"$ .
\n" ); document.write( "So, $\"x=1\"$ and $\"x=-5%2F2\"$ are solutions. \n" ); document.write( "

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