Question

Which graph shows the solution to the equation log2 (3x – 1) = 2?

Answer 1

graph 2

Explanation:

edg '23

Answer 2

Option 2

Explanation:

Given : Equation
`\log_2(3x-1)=2`

To find : Which graph shows the solution to the equation?

Solution :

First we distribute the equation into two equation.

Let Equation 1 be
`y=\log_2(3x-1)`

and Equation 2 be
`y=2`

Plot these two equation,

The equation 1 with purple line and equation 2 with orange line.

As these equation are equal there intersection point is given by,

Intersection point (1.667,2)

From the given graph only option 2 gives the correxct intersection point.

So, option 2 is correct.

Refer the attached figures below.