Logarithm-1

From Homeworkwiki

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

Solution: We know that log_b a = 1/log_a 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