Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Find the value of (log 3 12)(log 3 72) – log 3 (192).log 3 6
Text Solution
Verified by ExpertsThe correct answer is:
1
(1)
Sol. log 3 (2 2 .3) . log 3 (2 3 . 3 2 ) – log 3 (2 6 . 3 1 )log 3 (2 . 3)
= (2log 3 2 + 1)(3log 3 2 + 2) – (6log 3 2 + 1)(log 3 2 + 1)
= (2t + 1)(3t + 2) – (6t + 1)(t + 1) = (6t 2 + 7t + 2) – (6t 2 + 7t + 1) = 1
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