Question

Which of the following points does not lie on the graph of y = log3x?

(0, 1)
(27, 3)
(1, 0)

Answer 1

(27, 3)
(1, 0)

Working;
Substituting the value of x;
x=27
y=log81
=1.9084
x=1
y=log 3
y=0.4771

Answer 2

(0,1) doesn't lie on the graph.

Explanation:

We have been given the logarithmic equation
`y=\log_3(x)`

We can check which point lie on the graph of the given function by substituting x coordinates in the equation and find the corresponding y coordinate.

For x = 0

`y=\log_3(0)\\\\y=\log_30`

The value of log 0, is undefined, Hence, we'll not get a real value for this x value.

Hence, (0,1) doesn't lie on the graph.

For x = 27

`y=\log_3(27)\\\\y=\log_33^3\\\\y=3\log_33\\\\y=3`

Hence, (27,3) lie on the graph.

For x = 1

`y=\log_3(1)\\\\y=0`

Hence, (1,0) lie on the graph.

Therefore, (0,1) doesn't lie on the graph.