SOLUTION: HElp! could you please do this (I couldn't) Simplify: 9log(base 27)x - 4log(base 9)x The answer is log(base3)x but I don't know how to get that! Thank you.

Question 260352: HElp! could you please do this (I couldn't)
Simplify: 9log(base 27)x - 4log(base 9)x
The answer is log(base3)x but I don't know how to get that! Thank you.
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
Here is the original problem
(i)
Here are the step I took:
step 1 - write and solve for Y

taking a log base 3 of both sides, we get

--
step 2 - write and solve for Z

taking a log base 3 of both sides, we get

--
step 3 - rewriting steps 1 and 2, we get

which is simply

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