Simplify (2log_{3} 8 – 3log_{3} 2)
-
A.
(-log_{3} 4) -
B.
(-log_{3} 2) -
C.
(3log_{3} 2) -
D.
(3log_{3} 4)
Correct Answer: Option C
Explanation
(2log_{3} 8 – 3log_{3} 2 = log_{3} 8^{2} – log_{3} 2^{3})
= (log_{3}(frac{64}{8}) )
= (log_{3} 8 = log_{3} 2^{3})
= (3 log_{3} 2)