Which system of equations could be graphed to solve the equation below? log (2 x + 1) = 3 x minus 2 (Image Attached Below)

Question

asked Apr 5, 2021 83.9k views

2 Answers

Gilzero · Answer 1 · 2021-04-10T01:36:37+0000

Answer:

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

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

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