QUANT QUESTION OF THE DAY

QUESTION:-

If loga logb logc d = 0, which of the following is true?

OPTIONS

1)d is independent of a                                 

2)d is independent of b

3)d is independent of c

4) d is a constant


Solution


We know that log 1 = 0 for any base.

Since loga logb logc d = 0, we get that,

loga logb logc d = loga1

∴ logb logc d = 1

∴ logc d = b1 = b

∴ d = cb

Thus, it can be seen that d depends on b and c only, and not on a.

Hence, option 1.

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