Question

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

Answer 1

`y_1=\log(2x+1)`

`y_2=3x-2`

Option 2 is correct

Step-by-step explanation:

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

We are given an equation.

Left side is function of log and right side is linear function.

These type problem we solve using graph by making system of equation.

So, we divide single equation into system of equation

Left side equation:

`y_1=\log(2x+1)`

Right side equation:

`y_2=3x-2`

Hence, The system of equation would be
`y_1=\log(2x+1)` and
`y_2=3x-2`

Answer 2

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

Explanation:

In this problem, we have that:

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

So we can see this as an equation that comes from matching two equations, these two equations are:

`f(x)=y_(1)=log(2x+1) \ and \ g(x)=y_(2)=3x-2`

Therefore, by matching
`f(x) \ and \ g(x)`, we'll find the y-value at which these two functions intersects, that is:

`y_(1)=y_(2)`