Question

which system of equations could be graphed to solve the equation below?
$log(2x+1)=3x-2$
$\bigcirc$ $y_1 = 3x, y_2 = 2x$
$\bigcirc$ $y_1 = \log(2x+1), y_2 = 3x-2$
$\bigcirc$ $y_1 = \log2x+1, y_2 = 3x-2$
$\bigcirc$ $y_1 = \log(2x+1+2), y_2 = 3x$

Explanation:

Step1: Identify equation structure

We need to split $\log(2x+1)=3x-2$ into two functions.

Step2: Assign each side to $y$

Set $y_1$ equal to the left-hand side, and $y_2$ equal to the right-hand side.
$y_1 = \log(2x+1)$
$y_2 = 3x-2$

Step3: Match with options

Compare the derived functions to the given options to find the correct match.

Answer:

B. $y_1 = \log(2x+1), y_2 = 3x-2$