A logarithmic function passes through and

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

Problem

A logarithmic function

y=\log_a x

passes through

(1,0)

and

(\tfrac19,-2)

. Which of the following is the value of

a

? (a)

9

(b)

\dfrac{1}{3}

(c)

3

(d)

\sqrt{3}