log 5x ​ (2x−4)=3x+2

Answer 1

The solution to log [5x(2x - 4)] = 3x + 2 can be approximated by graphing.

The argument 5x(2x - 4) > 0 therefore x < 0 or x > 2.

The functions do not intersect when x > 0. The solution will occur at an x value < 0.

The functions intersect between the intercepts of the linear function. The intercepts of the linear function are (0,2) and (-2/3, 0). This narrows your solution to be a single value of x where -2/3 < x < 0.