Question

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

Answer 1

the answer is graph b on edg.

Answer 2

Answer:

Option 2  

Step-by-step 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.