document.write( "Question 78794: Please help!! I have tried this problem to no end. It is a tqake home homework, not out of a text book. Thanks, Laura\r
\n" ); document.write( "\n" ); document.write( "solve the given equation: (e^3)x^*e^x^2=e^10 \n" ); document.write( "

Algebra.Com's Answer #56540 by mathdoc314(58) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+%28e%5E3%29+%2A+x%5Ee+%2A+e%5Ex%5E2+=+e%5E10+\"$ \r
\n" ); document.write( "\n" ); document.write( "This will turn out pretty easy or else impossible if you take the natural logarithm of both sides and then do something about the x^e and then solve with algebra.\r
\n" ); document.write( "\n" ); document.write( "The logarithm rules are:\r
\n" ); document.write( "\n" ); document.write( "1. $\"+log%28a%2Ab%29+=+log%28a%29+%2B+log%28b%29+\"$
\n" ); document.write( "2. $\"+log%28e%5Ec%29+=+c+\"$
\n" ); document.write( "3. $\"+log%28a%5Eb%29+=+log%28a%29+%2A+b\"$ \r
\n" ); document.write( "\n" ); document.write( "Use rule 1 first:
\n" ); document.write( " $\"+log%28e%5E3%29+%2B+log%28x%5E3%29+%2B+log%28e%5Ex%5E2%29+=+log%28e%5E10%29+\"$
\n" ); document.write( "Use rule 2 and 3:
\n" ); document.write( " $\"+3+%2B+3+log%28x%29+%2B+x%5E2+=+10+\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"+x%5E2+-+7+%2B+3+log%28x%29+=+0+\"$ \r
\n" ); document.write( "\n" ); document.write( "I don't think there is a way to solve this algebraically. A person can find numbers for x that work very closely, using graphical or numerical methods and tools. I am sorry that I do not have a name for this type of equation.\r
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