Use the laws of logs to write y as a function of x for each. Then state domain.

a)log(xy) = 2 log (x-3)

b)log(y) + 3 = log(y + 1) + log(x)

c)log (x^2/y) = 2 log(x + 5)

Answers:

a) y = (x-3)^2 / x

b) y = x / (1000 -x)

c) y = x^2 / (x + 5)^2

I got the first one by isolating log y on the left side, then using the quotient law on the right side. I ended up with what they got for the answer, in addition to "log" in front of both sides, though. I'm not sure about is how they got rid of the "log" to get only x and y in the answer. Are you even allowed to divide "log" and cross it out?

I don't know where they got 1000 from in b).