document.write( "Question 926246: Solve e^(14x)+5e^(7x)-14=0 giving solution(s) in natural logarithm form. \n" ); document.write( "
Algebra.Com's Answer #562105 by Edwin McCravy(20063)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "e14x+5e7x-14 = 0\r\n" );
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document.write( "Let   e7x = u\r\n" );
document.write( "Then  (e7x)2 = u2\r\n" );
document.write( "or    e14x = u2\r\n" );
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document.write( "u2+5u-14 = 0\r\n" );
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document.write( "(u-2)(u+7) = 0\r\n" );
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document.write( "u-2 = 0;    u+7 = 0\r\n" );
document.write( "  u = 2      u = -7\r\n" );
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document.write( " e7x = 2     e7x = -7  <-- no real solut to this since left side is positive\r\n" );
document.write( "this is \r\n" );
document.write( "equivalent \r\n" );
document.write( "to equation\r\n" );
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document.write( "7x = ln(2)\r\n" );
document.write( " x = \"ln%282%29%2F7\"   <--- only solution                 \r\n" );
document.write( "            \r\n" );
document.write( "Edwin

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