Question 685554


{{{a^2 + b^2 = 14ab}}}

Add 2ab to both sides
{{{a^2 +2ab +b^2=16ab}}}

perfect square
{{{(a+b)^2=16ab}}}

{{{(1/16)(a+b)^2=ab}}}

Take log on both sides
{{{log(((1/16)(a+b)^2))=log((ab))}}}

{{{2log(((1/4)(a+b)))=log((ab))}}}
{{{log(((1/4)(a+b)))=(1/2)log((a))+(1/2)log((b))}}}