Question

If (-3, y) lies on the graph of y = 3^x, then y =

Answer 1

y =
`(1)/(27)`

Explanation:

Given

y =
`3^(x)` and (- 3, y) is a point on the graph, then

y =
`3^(-3)` =
`(1)/(3^(3) )` =
`(1)/(27)`

Answer 2

Answer: The required value of y is
`(1)/(27).`

Step-by-step explanation: We are given that the point (-3, y) lies on the graph of the following equation :

`y=3^x~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

We are to find the value of y.

Since the point (-3, y) lies on the graph of equation (i), so it will satisfy the equation.

Therefore, substituting (-3, y) in equation (i), we get

`y=3^(-3)\\\\\Rightarrow y=(1)/(3^3)\\\\\\\Rightarrow y=(1)/(27).`

Thus, the required value of y is
`(1)/(27).`