Question

2 log 3 – 3 log 2 =

A) log 0 

B) log 1 

C) log (9/8)

D) log (72)

Answer 1

Correct option is (C) log (9/8)

2 log 3 – 3 log 2 \(=log\,3^2-log\,2^3\)   \((\because log\,a^n=n\,log\,a)\)

= log 9 - log 8

= \(log\,\frac98\)    \((\because log\,\frac AB\) = log A - log B)

Answer 2

Correct option is C) log ( 9/8)