Question 528057
Let's see if I can render that expression the way I can write it on paper
{{{log((40^log(3))/(3^log(4)))=log((10^log(3))(4^log(3))/(3^log(4)))=log(3(4^log(3))/(3^log(4)))=log((3(4^log(3)/(3^log(4)))))}}}
Do you see the light at the end of the tunnel yet?
All you have to do now is prove that
{{{4^log(3)/(3^log(4))=1}}}
I don't know how you would do it, but I would say that
{{{4=10^log(4)}}}, so {{{4^log(3)=(10^log(4))^log(3)=10^((log(4))(log(3)))}}}
and
{{{3=10^log(3)}}}, so {{{3^log(4)=(10^log(3))^log(4)=10^((log(3))(log(4)))}}}