Question 20723
Did you know that log{{{n}}}m - log {{{n}}}b can be re-written as 
log{{{n}}}{{{m/b}}}

So you now get log{{{6}}} {{{(3m+7)/(m+4)}}} = log{{{6}}} {{{36/27}}}

Since both sides are to the same log, the log can be removed thus leaving you with 

{{{(3m+7)/(m+4)}}} = {{{36/27}}}

Can you solve it from here?