Question

Which function goes with this graph?

Answer 1

From the given points on the graph we can find which function represents this graph.

A point on the graph is (3, 1). This means if we substitute x = 3 the answer must be 1.

The property of log is that $log_{a}(a)=1$

This suggests, if the base of log is equal to the number for which we are finding the log, the answer must be 1.

So, in this case we have:

$log_{a}(3)=1$

Since the answer is 1, the base of log must be 3.

In the given options, only option 3rd is with base 3.

So, the correct answer is option 3.