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)

1

Answer 2

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