Proving facts about logarithms and exponentials including the derivative of an exponential with an arbitrary base

Using logarithms to transform a power function into a linear function

Using logarithms to transform an exponential function to a linear function

Explaining the formulas for the derivatives of exponential functions

Explaining the formulas for the derivatives of exponential functions

Using logarithmic differentiation to find the derivative of a function

Using logarithmic differentiation to find the derivative of a function

Evaluating a limit using logarithm properties

Evaluating a limit using L'Hospital's Rule