Ok, I'm having some issues with these questions. So could you show me step by step on how to come to an answer.
1. write as a single logarithm in simplest form
(Log 16x^8)/4 - (Log 27x)/3
2. isolate x using laws of logarithims
3 Logx(4)=2
I'm afraid that I don't understand the final goal: "simplest form." So I'll show you how I would do the problem and you can make your own decision if the answer is simple enough.
We're going to be using the change of base formula:
I'm going to choose my favorite base, e.
So
Skipping a couple of steps, you should arrive at
Which has the final form, as simply as I can write it:
The only other thing I can think of would be to subtract the fractions.
-Dan