Question 1160388
log(x+5)=log4-log(x-2)


{{{log((x+5))=log((4))-log((x-2))}}}

{{{log((x+5))+log((x-2))=log((4))}}}

{{{log(((x+5)(x-2)))=log((4))}}}


{{{(x+5)(x-2)=4}}}


{{{x^2+3x-10=4}}}


{{{x^2+3x-14=0}}}


discriminant,  {{{3^2+4*14=9+56=65}}}


Check which of these may work:  {{{x=(-3+- sqrt(65))/2}}}
(It should only be the PLUS form.)