If log a m=x, then log 1/a (1/m) equals · ABC26GN2052

Subject: General Aptitude · Chapter: Logarithms

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.

Study loop for Logarithms