document.write( "Question 240209: solve the exponential equation.\r
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Algebra.Com's Answer #176067 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
e^2x + e^x -6=0
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\n" ); document.write( "This is simply a \"quadratic equation\":
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\n" ); document.write( "Let y = e^x
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\n" ); document.write( "y^2 = (e^x)^2 = (e^x)(e^x) = e^2x
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\n" ); document.write( "So now we can rewrite:
\n" ); document.write( "e^2x + e^x -6=0
\n" ); document.write( "y^2 + y -6=0
\n" ); document.write( "(y+3)(y-2) = 0
\n" ); document.write( "y = {-3, 2}
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\n" ); document.write( "Since we said:
\n" ); document.write( "y = e^x
\n" ); document.write( "ln y = x
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\n" ); document.write( "So,
\n" ); document.write( "x = ln 2 (this is your solution)
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