Which statement correctly describes the behaviour of when the base satisfies ?

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Which statement correctly describes the behaviour of

\log_a x

when the base

a

satisfies

a>1

? (a)

\log_a x

decreases as

x

increases. (b)

\log_a x

increases as

x

increases only for

x>1

; for

0<x<1

it decreases. (c)

\log_a x

increases as

x

increases. (d)

\log_a x

first increases and then decreases as

x

increases.