Question 728311
{{{log(x+5)-log(x -3)=5}}}..it's log base {{{10}}}

{{{log(10,(x+5))-log(10,(x -3))=5}}}


{{{log((x+5))/log(10)-log((x -3))/log(10)=5}}}


{{{(log((x+5))-log((x -3)))/log(10)=5}}}


{{{log((x+5)/(x -3))=5log(10)}}}


{{{log((x+5)/(x -3))=log(10^5)}}}...since log same, than =>


{{{(x+5)/(x -3)=10^5}}}


{{{(x+5)/(x -3)=100000}}}


{{{(x+5)=100000(x -3)}}}


{{{x+5=100000x -300000}}}


{{{300000+5=100000x -x}}}


{{{300005=99999x}}}


{{{300005/99999=x}}}.....this is solution if base is {{{10}}}, same solution we gate if we have the natural log


you are given these options for an answer:

A) 5
B) 3/2
C) -3/2
D) No solution
E) -5

and none of them is acceptable