Solve a Logarithmic Equation Involving 2 Natural Logarithms Using the 1 to 1 Property of Logarithms

The equation to be solved is ln(3x)=ln(x^2-40). The one to one property of logarithms states that if log(base b) of x=log(base b) of y, then x=y. In this case, using the one to one property results in the quadratic equation 3x=x^2-40 that is then solved by factoring. After the solutions are found they are checked to see if they are extraneous solutions.

Timestamps
0:00 Introduction
0:57 One to One Property of Logarithms
2:00 Solve Quadratic Equation
3:30 Check for Extraneous Solutions