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The least integer greater than log(2) 1...

The least integer greater than ` log_(2) 15* log_(1//6 2* log_(3) 1//6` is _______.

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The correct Answer is:
3
` log_(2) 15 * log_(1//6) 2* log_(3) 1//6`
` = (log 15)/(log 2) *(log 2)/(-log 6) * (-log 6)/(log 3) `
` = log_(3) 15`
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