Question

Answer fast plsss urgently

Answer 1

Answer:

1

Step-by-step explanation:

Loga/logb x logb/logc x logc/loga

Gives 1.

Cube it.

1*3 =1

~~answer is 1~~

Answer 2

ANSWER ➡

✔ Option C. 1

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SOLUTION

$( \: log_{b}a \: \times \: log_{c}b \: \times \: log_{a}c \: ) {}^{3} \\ \\ = ( \: \frac{log \: a}{logb} \: \times \: \frac{log \: b}{log \: c} \: \times \: \frac{log \: c}{log \: a} \: ) {}^{3} \\ \\ = (1) {}^{3} \\ \\ = 1$

$\rm{ \: \therefore \: \: \: the \: \: \: value \: \: \: of \: \: \: \: \: :} \\ \\ \rm{ \underline{ \red{ \: \: ( log_{b}a \: \times \: log_{c}b \: \times log_{a}c) {}^{3} = 1 \: \: }}}$