Simplify 3log\(_6\)9 + log\(_6\)12 + log\(_6\)64 - log\(_6\)72
A
5
B
7776
C
log631
D
(7776)6
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
3 log\(_6\)9 + log\(_6\)12 + log\(_6\)64 - log\(_6\)72
= log\(_6\)9\(^3\) + log\(_6\)12 + log\(_6\)64 - log\(_6\)72
log\(_6\)729 + log\(_6\)12 + log\(_6\)64 - log\(_6\)72
log\(_6\)[\(\frac{(729 \times 12 \times 64)}{72}\)] = log\(_6\)7776
= log\(_6\)6\(^5\) = 5log\(_6\)6 = 5
N.B: log\(_6\)6 = 1
Source: Myschool Past Questions Archive (Record #31441)