Answer:
Option 2
Step-by-step explanation:
Given : Equation [tex]\log_2(3x-1)=2[/tex]
To find : Which graph shows the solution to the equation?
Solution :
First we distribute the equation into two equation.
Let Equation 1 be [tex]y=\log_2(3x-1)[/tex]
and Equation 2 be [tex]y=2[/tex]
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.
