Exponents and Logarithms work well together because they "undo" each other (so long as the base "a" is the same): They are "Inverse Functions" Doing one, then the other, gets us back to where we …

Nov 26, 2025 · Logarithmic functions are the inverses of exponential functions. The inverse of the exponential function y = ax is x = ay. The logarithmic function y = logax is defined to be equivalent to …

Explain the relationship between exponential and logarithmic functions. Describe how to calculate a logarithm to a different base. Identify the hyperbolic functions, their graphs, and basic identities. In …

This unit develops your understanding of exponential and logarithmic functions as inverse relationships. You'll analyze their graphs, apply key properties to solve complex equations, and construct models to …

Scroll down the page for more examples and solutions for logarithmic and exponential functions. This video defines a logarithms and provides examples of how to convert between exponential equations …

Jun 6, 2018 · In this chapter we will introduce two very important functions in many areas : the exponential and logarithm functions. We will look at their basic properties, applications and solving …

How do changes to the base of a logarithmic or exponential function impact its graph and growth rate? The answers to these questions are provided on the following pages.

You may discover the following properties of the logarithmic function by taking the reflection of the graph of an appropriate exponential function (Exercises 31 and 32).

An exponential function has the form a x, where a is a constant; examples are \ds 2 x, \ds 10 x, \ds e x. The logarithmic functions are the inverses of the exponential functions, that is, functions that "undo'' …

Let’s review some background material to help us study exponential and logarithmic functions.