Question 314292
 {{{log((x)) +log((x-4))= log ((5)) }}}
{{{log((x(x-4)))=log(5) }}}

{{{log((x(x-4)/5)))=0}}}

{{{x(x-4)/5=1}}}

{{{x(x-4)=5}}}
{{{x^2-4x=5}}}
{{{x^2-4x-5=0}}}
{{{ (x+1)(x-5)=0}}}
 
Two solutions:
{{{ x+1=0}}}
{{{ x=-1}}}
Not allowed, since log functions require non-negative arguments.
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{{{ x-5=0}}}
{{{highlight_green(x=5)}}}
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Verify the solution.
 {{{log((5)) +log((5-4))= log ((5)) }}}
 {{{log((5)) +log((1))= log ((5)) }}}
 {{{log((5)) +0= log ((5)) }}}
 {{{log((5))= log ((5)) }}}
True, good solution.