Higher order equations are usually harder to solve. A special property of exponential functions is that the slope of the function also continuously increases as x increases. It is commonly defined by the following power series.
Solving an exponential equation with logoarithm laws.
Linear equations are easy to solve. Four variables percent change time the amount at the beginning of the time period and the amount at the end of the time period play roles in exponential functions. As you already pointed out in the comments by the definition of the derivative and using f x y f x f y f 0 1 and f 0 1 we have. When we have an equation with a base e on either side we can use the natural logarithm to solve it.