Question

Given that
$log(3) f = a$
and
$log(3) g = b$
express
$log(9) ( \frac{ \sqrt{f} }{g})$
in terms of a and b.
​

Answer 1

Answer:

(a-2b)/4

Step-by-step 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