Evaluate log(_2) 8 – log(_3) (frac{1}{9})
-
A.
-1 1(frac{1}{2}) -
B.
-1 -
C.
1 -
D.
5
Correct Answer: Option D
Explanation
log(_2) 8 – log(_3) (frac{1}{9})
= log (_2) 2(^3) – log(_3) 9(^{-1})
= log(_2) 2(^3) – log(_3) 3(^{-2})
Based on law of logarithm
= 3 log(_2) 2 – (-2 log(_3) 3)
But log(_2) 2 = 1,
log(_3) 3 = 1
So, = 3 + 2
= 5
There is an explanation video available below.