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Question

Find the value of log34.log45.log56.log67.log78.log89.

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Solution

To find log34.log45.log56.log67.log78.log89

Let L=log34.log45.log56.log67.log78.log89

=log4log3×log5log4×log6log5×log7log6×log8log7×log9log8 .....[logba=logalogb]

=log9log3=log32log3

L=2log3log3=2 .....[logam=mloga]

log34.log45.log56.log67.log78.log89 =2

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