Let . Which one of the following inequalities is always…

MATHEMATICS · Single correct · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

Let

0<a<1

and let

u,v

be positive real numbers with

u>v

. Which one of the following inequalities is always true? (a)

\log_a u\,\log_a v>0

(b)

\log_a \dfrac{u}{v}>0

(c)

\log_a u>\log_a v

(d)

\log_a u<\log_a v