Question

PLEASE SOLVE the question give in the image

Answer 1

Step-by-step explanation:

We have,

$\frac{1}{ log_{ \frac{a}{b} }(x) } + \frac{1}{ log_{ \frac{b}{c} }(x) } + \frac{1}{ log_{ \frac{c}{a} }(x) }$

$= log_{ x} \bigg( \frac{a}{b} \bigg) + log_{ x} \bigg( \frac{b}{c} \bigg) + log_{ x} \bigg( \frac{c}{a} \bigg)$

$= log_{ x}( a) - log_{x}(b) + log_{ x}(b) - log_{x}(c) + log_{ x} ( c) - log_{x}(a)$

$= 0$