document.write( "Question 1131870: Hi
\n" ); document.write( "could you please solve for x the following problem. \r
\n" ); document.write( "\n" ); document.write( "e to the power of 3x-7 multiplied by e to the power of -2× = 4e.\r
\n" ); document.write( "\n" ); document.write( "my answer was x=11 however the textbook says 8 + ln4\r
\n" ); document.write( "\n" ); document.write( "thanks \n" ); document.write( "
Algebra.Com's Answer #748576 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
could you please solve for x the following problem.
\n" ); document.write( "e to the power of 3x-7 multiplied by e to the power of -2× = 4e.
\n" ); document.write( "my answer was x=11 however the textbook says 8 + ln4
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document.write( "e3x-7e-2x = 4e\r\n" );
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document.write( "add exponents of e on the left\r\n" );
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document.write( "e3x-7-2x = 4e\r\n" );
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document.write( "ex-7 = 4e\r\n" );
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document.write( "Divide both sides by e which means we subtract 1 from the\r\n" );
document.write( "exponent of e, and just get 4 on the right\r\n" );
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document.write( "ex-7-1 = 4\r\n" );
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document.write( "ex-8 = 4\r\n" );
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document.write( "Take the natural log of both sides:\r\n" );
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document.write( "ln(ex-8) = ln(4)\r\n" );
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document.write( "Move the exponent in front of the natural log:\r\n" );
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document.write( "(x-8)ln(e) = ln(4)\r\n" );
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document.write( "Since ln(e) = 1\r\n" );
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document.write( "(x-8)1 = ln(4)\r\n" );
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document.write( "x-8 = ln(4)\r\n" );
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document.write( "Add 8 to both sides:\r\n" );
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document.write( "x = 8 + ln(4)\r\n" );
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document.write( "Edwin
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