Let and with

MATHEMATICS · Single correct · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

Let

a>1

and

p,q\in\mathbb{R}

with

p<q

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

a^p>a^q

(b)

a^p<a^q

(c)

a^{p-q}>1

(d) The relation cannot be determined