JAMB - Mathematics (1990 - No. 10)
Simplify 3log\(_6\)9 + log\(_6\)12 + log\(_6\)64 - log\(_6\)72
5
7776
log631
(7776)6
คำอธิบาย
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
= 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