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What is this type of function called y equals mx to the power of -b?
Assuming that b > 0, it is an inverse power function or an inverse exponential function.
What is the difference between a logarithmic function and a natural exponential function?
The exponential function, in the case of the natural exponential is f(x) = ex, where e is approximately 2.71828. The logarithmic function is the inverse of the exponential function. If we're talking about the natural logarithm (LN), then y = LN(x), is the same as sayinig x = ey.
What is a equation that is the inverse of the exponential equation?
Logarithmic equation
A logarithmic function takes the exponential function's output and returns the exponential function's?
input
How is logarithmic functions as inverses of exponential?
An inverse of a function is found by swapping the x and y variables. For example: the straight line function y = 2x, has an inverse of x = 2y. This can be rearranged into y = x/2. Now take the function y = ex. The inverse is: x = ey. Unfortunately, there is no easy way to rearrange this to be y = {something}. So the logarithm function was created to handle this, and now the function {x = ey} can be written as y = ln(x).
