The graph of passes through the point

MATHEMATICS · Subjective · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions

Problem

The graph of

y=\log_a x

passes through the point

\left(\dfrac{1}{4}, -2\right)

. (i) Determine the value of

a

. (ii) State whether the function is increasing or decreasing as

x

increases.