Question

Let log a=x, log b=y,and log c=z. Express log (a^2b)/c^3 in terms of x,y,and z.

Answer 1

Do you mean \(log (\frac{a^2b}{c^3})\) for your question?

Answer 2

Yes!

Answer 3

log (ab) = log a + log b
log (a/b) = log a - log b
log (a^n) = n log a

So, \[\log \frac{a^2b}{c^3}\]\[=\log (a^2b) - \log c^3\]\[=\log a^2+ \log b - \log c^3\]\[=2\log a+ \log b - 3\log c\]\[=...?\]

Answer 4

2x+y-3z ?

Answer 5

Is that correct?