MathDB

On a blank paper there were drawn two perpendicular axes

x

and

y

with the same scale. The graph of a function

y=f(x)

was drawn in this coordinate system. Then the

y

axis and all the scale marks on the

x

axis were erased. Provide a way how to draw again the

y

axis using pencil, ruler and compass: (a)

f(x)= 3^x

; (b)

f(x)= \log_a x

, where

a>1

is an unknown number.

Problem Statement