Simplify 3 log69 + log612 + log664 - log672.... Question 15898

Simplify 3 log₆9 + log₆12 + log₆64 - log₆72

7776

log₆31

(7776)₆

Correct answer is A

3 log₆9 + log₆12 + log₆64 - log₆72

= log₆9³ + log₆12 + log₆64 - log₆72

log₆729 + log₆12 + log₆64 - log₆72

log₆(729 x 12 x 64) = log₆776

= log₆6₅ = 5 log₆6 = 5

N.B: log₆6 = 1

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