document.write( "Question 378051: evaluete\r
\n" ); document.write( "\n" ); document.write( "Logx(x+3)=4
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Algebra.Com's Answer #268727 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Not sure if you meant $\"log%28x%2C%28x%2B3%29%29=4\"$ or $\"log%28%28x%28x%2B3%29%29%29=4\"$ ???
\n" ); document.write( "I'll work it both ways.
\n" ); document.write( " $\"log%28x%2C%28x%2B3%29%29=4\"$
\n" ); document.write( " $\"x%5E4=x%2B3\"$
\n" ); document.write( " $\"x%5E4-x-3=0\"$
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\n" ); document.write( " $\"graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C0%2Cx%5E4-x-3%29\"$
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\n" ); document.write( "Using Newton's method to find the positive solution,
\n" ); document.write( " $\"f=x%5E4-x-3\"$
\n" ); document.write( " $\"df%2Fdx=4x%5E3-1\"$
\n" ); document.write( " $\"x%5B1%5D=2\"$
\n" ); document.write( " $\"highlight%28x=1.452627%29\"$
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\n" ); document.write( " $\"log%28%28x%28x%2B3%29%29%29=4\"$
\n" ); document.write( " $\"x%28x%2B3%29=10%5E4\"$
\n" ); document.write( " $\"x%5E2%2B3x+=10000\"$
\n" ); document.write( " $\"x%5E2%2B3x%2B9%2F4=10000%2B9%2F4\"$
\n" ); document.write( " $\"%28x%2B3%2F2%29%5E2=40009%2F4\"$
\n" ); document.write( " $\"x%2B3%2F2=0+%2B-+sqrt%2840009%29%2F2\"$
\n" ); document.write( " $\"x=-3%2F2+%2B-+sqrt%2840009%29%2F2\"$
\n" ); document.write( " $\"highlight%28x=%28-3+%2B-+sqrt%2840009%29%29%2F2%29\"$ \r
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