If $x = \log_{b}{a,\ y = \log_{c}{b,\ z = \log_{a}c}}$, then $xyz$ is

Question

Dr. Abubacker · Accepted Answer

(b)
Given, $x = \log_{b}{a = \frac{\log_{e}a}{\log_{e}b}}$
$y = \log_{c}{b = \frac{\log_{e}b}{\log_{e}c}}$
And $z = \log_{a}{c = \frac{\log_{e}c}{\log_{e}a}}$
$	herefore\ \ \ \ \ \ \ xyz = \frac{\log_{e}a}{\log_{e}b}.\frac{\log_{e}b}{\log_{e}c}.\frac{\log_{e}c}{\log_{e}a} = 1$

Q. If $x = \log_{b}{a,\ y = \log_{c}{b,\ z = \log_{a}c}}$, then $xyz$ is

Explanation

Reviewed by Dr. Abubacker

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