Consider the two functions and with

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

Problem

Consider the two functions

y=\log_{p} x

and

y=\log_{q} x

with

p,q>1

. For every

x>1

, the graph of

y=\log_{p} x

lies above the graph of

y=\log_{q} x

. Which relation between

p

and

q

must be true? (a)

p-q=1

(b)

1<p<q

(c)

p=q

(d)

1<q<p