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

1 Answer
May 31, 2016

Answer:

#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)#