Let , , and be positive numbers such that , , are in arithmetic progression. Which…

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

Problem

Let

p

q

, and

r

be positive numbers such that

\log_{e} p

\log_{e} q

\log_{e} r

are in arithmetic progression. Which one of the following relations among

p

q

, and

r

must hold? (a)

p^{2}=qr

(b)

p+r=2q

(c)

q^{2}=pr

(d)

q^{2}=\dfrac{p}{r}