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Question

Find the value of log3 4. log4 5. log5 6. log6 7. log7 8. log8 9.
  1. 2

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Solution

The correct option is A 2

log3 4.log4 5.log5 6.log6 7.log7 8.log8 9

Using change of base identity, logb a=logm alogm b and taking common base as 10, we get

log 4log 3.log 5log 4.log 6log 5.log 7log 6.log 8log 7.log 9log 8

=log 9log 3

=log 9log 3=log 32log 3=2×log 3log 3=2


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