SV #4: Unit I Concept 3-5 - Graphing Logarithmic Equations

In this video, the viewer needs to pay attention to how the logarithmic equation is not able to plugged into the graphing calculator because of its different numbered base (other than 10). In order for us to do so, we need to use the change of base formula- natural logs- which then gives us our graph. In finding the x-intercept, we must remember how to exponentiate and get rid of the logarithm. When finding the y-intercept it is important to know how to plug in the logarithm if the base is again not 10, which leads to using the change of base formula again. When finding the intercepts, if a number value of natural log is negative, the point is undefined. Because logarithmic equations are inverse to exponential equations, we know that the domain and range are flipped. The domain is restricted by the asymptote while the range has no restrictions.