GATE | Sudo GATE 2020 Mock I (27 December 2019) | Question 9

Solve:

1/logab(abcd) + 1/logbc(abcd) + 1/logcd(abcd) + 1/logda(abcd) 

(A) 10
(B) 1
(C) 4
(D) 2


Answer: (D)

Explanation:

= logabcd(ab) + logabcd(bc) + logabcd(cd) + logabcd(da)
= logabcd(ab * bc * cd * da)
= logabcd(abcd)2
= 2 logabcd(abcd)
= 2 

So, option (D) is correct.


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