Logarithm-1

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Prove that 1/log3 60 + 1/log5 60 + 1/log4 60 = 1

Solution: We know that logb a = 1/loga b

Therefore, 1/log3 60 + 1/log5 60 + 1/log4 60

= log60 3 + log60 5 + log60 4 = log60 3 x 4 x 5

= log60 60 = 1

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