Thread: How do I write this as a single logarithm?

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.

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: