Question

Which is the graph of a logarithmic function? A B C or D

Answer 1

Answer-

The D plot represents the logarithmic function.

Solution-

1st plot represents the rectangular hyperbola (with vertical asymptote at x=3 and horizontal asymptotes at y=0),

$f(x) =\frac{1}{x-3}$

2nd plot represents the straight line (passing through origin and slope 1/5),

$f(x)=\frac{x}{5}$

3rd plot represents the parabola (vertex at 3, 0),

$f(x)=\frac{1}{c} (x-3)^{2}$  (where c is a constant)

4th plot represents the logarithmic curve,

$f(x)=c\log x$              (where c is a constant)

∴ The 4th graph is a graph of a logarithmic function.

Answer 2

Hello : 
the graph of a logarithmic function is :  D