Question

Which system of equations could be graphed to solve the equation below?

log (2 x + 1) = 3 x minus 2


(Image Attached Below)

Answer 1

b

Explanation:

Answer 2

`\left\{\begin{array}{l}y_1=\log (2x+1)\\ \\y_2=3x-2\end{array}\right.`

Explanation:

Given the equation

`\log (2x+1)=3x-2`

This equation consists of two parts. In the left part, there is a logarithmic function
`y=log (2x+1)`

In the right part, there is a linear function
`y=3x-2`

To solve the equation graphically, you have to plot the graphs of these two functions and find the point of intersection of these graphs.

Hence, appropriate system is

`\left\{\begin{array}{l}y_1=\log (2x+1)\\ \\y_2=3x-2\end{array}\right.`