Question 373138
<pre>
{{{log((x^2+9))-log((x+3))=2+log((x-3))}}}

{{{log((x^2+9))-log((x+3))-log((x-3))=2}}}

{{{log((x^2+9))-(log((x+3))+log((x-3)))=2}}}

{{{log((x^2+9))-log(((x+3)(x-3)))=2}}}

{{{log((x^2+9))-log((x^2-9))=2}}}

{{{log(((x^2+9)/(x^2-9)))=2}}}

{{{((x^2+9)/(x^2-9))=10^2}}}

{{{((x^2+9)/(x^2-9))=100}}}

{{{x^2+9=100(x^2-9)}}}

{{{x^2+9=100x^2-900}}}

{{{909=99x^2}}}

{{{909/99=x^2}}}

{{{101/11=x^2}}}

{{{""+- sqrt(101/11)=x}}}

{{{""+- sqrt(expr(101/11)expr(11/11))=x}}}

{{{""+- sqrt(expr(1111/11^2))=x}}}

{{{""+- sqrt(expr(1111))/11=x}}}

{{{""+- sqrt(expr(1111))/11=x}}}

{{{""+- 3.030151511=x}}}

We discard the negative answer since when substituted
for x in the original requires the logarithm of a negative
number, which is not defined in real numbers.

Answer = {{{sqrt(expr(1111))/11}}}

Edwin</pre>