Question

Value of $\left[\left({\log }_{b}a\right)\left({\log }_{c}b\right)\left({\log }_{a}c\right)\right]$ is

• A. 0
• B. 1
• C. abc
• D. log abc

Answer 1

Answer: (B)

$({\log }_b$ a) $\left({\log }_{c}b\right)\left({\log }_{a}c\right)$
$=\frac{\log a}{\log b}\times \frac{\log b}{\log c}\times \frac{\log c}{\log a}\left[\because {\log }_{m}n=\frac{\log n}{\log m}\right]$
$=1$