Question 956814

{{{log(5, (x-10))-log(5, 3)=2}}}

{{{log(5, (x-10)/ 3))=2}}}.........change the base to base {{{10}}}

{{{log((x-10)/ 3)/log(5)=2}}}

{{{log((x-10)/ 3)=2log(5)}}}

{{{log((x-10)/ 3)=log(5^2)}}}

{{{log((x-10)/ 3)=log(25)}}}.......if log same, then

{{{(x-10)/ 3=25}}}

{{{(x-10)=25*3}}}

{{{x-10=75}}}

{{{x=75+10}}}

{{{x=85}}}