First take the powers leading co-efficients from in front of the logs to get:
Then join the subtraction to get:
Now since they have a common base you can do this:
This is what the question reads.
"Write the following as a single logarithm."
(4log5x - 2log5y)/ 3log5w
= (log5x^4 / log5y^2) / log5w^3
Is that it?
Or...
(4log5x - 2log5y)/ 3log5w
= (log5x^4 / log5y^2) - log5w^3
I'm a bit confused with this specific problem.