ABC26GN2052 · Logarithms

Subject: General Aptitude · Chapter: Logarithms · Exam: · Marks: · Difficulty:

If $\log _{a} m=x$, then $\log _{\frac{1}{a}}\left(\frac{1}{m}\right)$ equals
(a)$-\frac{1}{x}$
(b)$\frac{1}{x}$
(c)$-x$
(d)$x$
Answer
Answer (as printed): D
Explanation
$\log _{\frac{1}{a}}\left(\frac{1}{m}\right)=\log _{a^{-1}} m^{-1}=\frac{-1}{-1} \log _{a} m=\log _{a} m=x$.

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

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