Question 1177562


Given:

{{{log(2, 3) = x}}}
 {{{log(2, 5) = y}}}


write {{{log(2,8/135)}}}  in terms of {{{x}}} and {{{y}}}


{{{log(2,8/135)}}}

{{{log(2,2^3/(3^3*5) )}}}

{{{log(2,2^3)-log(2,3^3*5 )}}}

{{{3log(2,2)-(log(2,3^3)+log(2,5 ))}}}

{{{3log(2,2)-(3log(2,3)+log(2,5 ))}}}

{{{3log(2,2)-3log(2,3)-log(2,5 )}}}............substitute {{{log(2,3)}}} and {{{log(2,5)}}}

{{{3log(2,2)-3x-y}}}