Question

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

Answer 1

Answer:

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

Step-by-step 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

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