document.write( "Question 220533: Can someone please help?\r
\n" ); document.write( "\n" ); document.write( "Solve the equation.\r
\n" ); document.write( "\n" ); document.write( "e^(x+3) = e^(x) + 9\r
\n" ); document.write( "\n" ); document.write( "x=? \n" ); document.write( "

Algebra.Com's Answer #165540 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
Remember that $\"x%5E%28y%2Bz%29=x%5Ey%2Ax%5Ez\"$ . So this means that $\"e%5E%28x%2B3%29=e%5Ex%2Ae%5E3\"$ . If you let $\"z=e%5Ex\"$ you can rewrite the equation into $\"e%5E3z=z%2B9\"$ and easily solve for 'z' (since it's now a linear equation). Once you have the solution in terms of 'z', use the equation $\"z=e%5Ex\"$ to find the solution in terms of 'x'.\r
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\n" ); document.write( "\n" ); document.write( "Note: 'e' is just the constant number 2.71828... \n" ); document.write( "

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