1/log a b × 1/log b c × 1/log c a is equal to · ABC26GN2074

Subject: General Aptitude · Chapter: Logarithms · Exam: Hotel Management 2010

$\frac{1}{\log _{a} b} \times \frac{1}{\log _{b} c} \times \frac{1}{\log _{c} a}$ is equal to

(a)$a+b+c$

(b)abc

(c)0

(d)1

Answer

Answer (as printed): D

Explanation

Given expression $=\left(\frac{\log a}{\log b} \times \frac{\log b}{\log c} \times \frac{\log c}{\log a}\right)=1$.

Explanation as extracted from the printed page; notation may be imperfect.

Study loop for Logarithms