Question
$$\frac{1}{{{{\log }_a}b}} \times \frac{1}{{{{\log }_b}c}} \times \frac{1}{{{{\log }_c}a}}$$ is equal to -
Answer: Option D
$$\eqalign{
& {\text{Given}}\,\,\,{\text{Expression}} \cr
& \left( {\frac{{\log a}}{{\log b}} \times \frac{{\log b}}{{\log c}} \times \frac{{\log c}}{{\log a}}} \right) \cr
& = 1 \cr} $$
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$$\eqalign{
& {\text{Given}}\,\,\,{\text{Expression}} \cr
& \left( {\frac{{\log a}}{{\log b}} \times \frac{{\log b}}{{\log c}} \times \frac{{\log c}}{{\log a}}} \right) \cr
& = 1 \cr} $$
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