document.write( "Question 237394: $\"ln+%28x-3%29=-%28x%5E2%29%2B14\"$ is my problem. I know x is approx 3.77, but I need to understand how to get this. If I understand correctly, this is the same as $\"log%28e%2C%28x-3%29%29=-%28x%5E2%29%2B14\"$ . I think this can also be $\"e%5E%28-%28x%5E2%29%2B14%29=x-3\"$ , but I'm not sure where to go from there. Can you help? I'd really appreciate it! \n" ); document.write( "

Algebra.Com's Answer #174576 by Edwin McCravy(20063) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"ln+%28x-3%29=-%28x%5E2%29%2B14\"$ is my problem. I know x is approx 3.77, but I need to understand how to get this. If I understand correctly, this is the same as $\"log%28e%2C%28x-3%29%29=-%28x%5E2%29%2B14\"$ . I think this can also be $\"e%5E%28-%28x%5E2%29%2B14%29=x-3\"$ , but I'm not sure where to go from there. Can you help? I'd really appreciate it!
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document.write( "To 12 decimal places (13 significant figures) the solution\r\n" );
document.write( "is 3.775482695075\r\n" );
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document.write( "Logarithm functions and exponential functions are not\r\n" );
document.write( "algebraic functions. These are called transcendental\r\n" );
document.write( "functions. Whenever variables appear both inside and \r\n" );
document.write( "outside of transcendental functions in an equation, \r\n" );
document.write( "as in your equation, all methods of algebra fail to\r\n" );
document.write( "be of any use in finding a solution. The best that\r\n" );
document.write( "can be done is to solve them by iterative processes, \r\n" );
document.write( "and then only an approximate solution can be had.  \r\n" );
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document.write( "Edwin

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