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Prove that: log34 . log45 . log5 6 . log67 . log78. log8 9 = 2

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Prove that:
log34 . log45 . log5 6 . log67 . log78. log8 9 = 2

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L.H.S.

= (log34 – log45) - (log56 . log67) (log78 - log89)

= (log35 x log5 7) x log7 9

= log37 x log79

= log39 = log332

= 2 x 1= R.H.S. Hence Proved.

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