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Verified Answer :

Hanihan

For change of base, use log 10 (common logarithm)

For \(log_{a} B\) , so using change of base, it becomes, lgB/lga.
Therefore,
\(log_{8} 77\) = lg77/lg8 (use calculator) 

Ans: 2.089

By change of base formula the expression becomes log(77)/log(8).


Using the calculator, log(77) = 1.8865 and log(8) = 0.9031.
 

Therefore, log[8]77 = 1.8865/0.9031 = 2.089.


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