Question

How do you expand `log_5 ((xy^3)/(z^4))`?

Answer 1

`log_5((xy^3)/z^4) = log_5(x)+3log_5(y)-4log_5(z)`

Explanation:

Source numbers multiplied `->` add logs
Source number to power `->` power x log of number
Source numbers divide `a/b-> log(a)-log(b)`

Using the above and not changing the base of the log:

`log_5((xy^3)/z^4) = log_5(x)+3log_5(y)-4log_5(z)`