The value of $[({log}_{b} a) ({log}_{c} b) ({log}_{a} c)]$ is

a b c

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log a b c

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0

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1

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Solution

The correct option is D $1$
$({log}_{b} a) ({log}_{c} b) ({log}_{a} c)$
$= \frac{log a}{log b} \times \frac{log b}{log c} \times \frac{log c}{log a}$ $[∵ {log}_{m} n = \frac{log n}{log m}]$
$= 1$ .

Suggest Corrections

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