Question 941474

{{{6^(x-3)=52}}}.....take a log of both sides

{{{log(6^(x-3))=log(52)}}}

{{{(x-3)log(6)=log(52)}}}

{{{x-3=log(52)/log(6)}}}

{{{x=log(52)/log(6)+3}}}

{{{x=(log(52)+3log(6))/log(6)}}}

{{{x=(log(52)+log(216))/log(6)}}}

{{{x = (5log(2)+3log(3)+log(13))/(log(2)+log(3))}}}

{{{x=5.2052311}}}

{{{x=5.21}}}