JAMB - Mathematics (1990 - No. 10)

Simplify 3log\(_6\)9 + log\(_6\)12 + log\(_6\)64 - log\(_6\)72
5
7776
log631
(7776)6

Explanation

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

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