document.write( "Question 301207: 4-x= lnx\r
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Algebra.Com's Answer #216032 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
You have to iterate to find a solution.
\n" ); document.write( "I used Newton's method.
\n" ); document.write( " $\"f%28x%29=4-x-ln%28x%29\"$
\n" ); document.write( " $\"df%2Fdx=-1-1%2Fx\"$
\n" ); document.write( " $\"x%28n%2B1%29=x%28n%29-f%28xn%29%2F%28%28df%2Fdx%29%28xn%29%29\"$
\n" ); document.write( "I started with $\"x0=3\"$ .
\n" ); document.write( "It quickly settled (2 iterations) to the root of
\n" ); document.write( " $\"x=2.92671\"$ \n" ); document.write( "

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