Given that log(3) f = a and log(3) g = b express log(9) ( ( √(f) )/(g)) in terms of a and b. ​

Question

Given that


`log(3) f = a`
and

`log(3) g = b`
express

`log(9) ( ( √(f) )/(g))`
in terms of a and b.
​

Answer 1

(a-2b)/4

Explanation:

log 9 (sqrt(f)/g) = 0.5*log 9 (f(x)) - log 9 (g(x))= 0.5*0.5*log 3 f(x) - 0.5*log 3 g(x) = a/4 - b/2=(a-2b)/4