Find the value of log34·log45·log56·log67·log78·log89
Find the value of the given expression
The given expression is log34·log45·log56·log67·log78·log89
The value of the given expression is
log34·log45·log56·log67·log78·log89=log104log103·log105log104·log106log105·log107log106·log108log107·log109log108=log109log103=log1032log103=2 ∵logab=log10blog10a
Hence, the required answer is 2.