Question

Do you add or subtract logs together
So the question I'm trying to solve is
f(x)=log4(2x-6) and g(x)=log4(x-3) what is f(x)-g(x)
So do you get rid of the log and if it was f(x)+g(x) would log be log8?
Pls help

Answer 1

Or would it be log4 2 I'm so confused

Answer 2

If you find the log of a PRODUCT, such as log a*b, add log a and log b.
If you find the log of a QUOTIENT, such as log a/b, subtract log b from log a.

Answer 3

It's really worth the effort to learn how to express logs in bases other than 10 properly.
log4 2 is incorrect; it should be expressed in one of the three following formats:\[\log_{4} 2\]

Answer 4

(log to the base 4 of) 2