**(log 9,base "a" - log 4, base "b") / (log 3, base "a" - log 2, base "b")**

**Write the number in exponential form with a base of 3.**

(log 3^2, base "a" - log 2^2, base "b") - (log 3, base "a" - log 2, base "b")

**Using formula: log b^c,base "a" = c * log b, base "a".**

(2 log 3, base "a" - 2 log 2, base "b") / (log 3, base "a" - log 2, base "b"

**Factor out 2 from the expression.**

2(log 3, base "a" - log 2, base "b") / (log 3,base "a" - log 2, base "b") = 2

The Solution is 2