The exponent of a number says how many times to use the number in a multiplication. In this example: 23 = 2 × 2 × 2 = 8.

Test your understanding of Exponential & logarithmic functions with these 38 questions.

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 …

In other words, logarithms are exponents. Remarks: log x always refers to log base 10, i.e., log x = log10x . ln x is called the natural logarithm and is used to represent logex , where the irrational …

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 …

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 …

Jun 11, 2025 · Exponents are like a handy abbreviation for expressing large values. Instead of writing out 10 × 10 × 10 × 10 × 10, you can write 10⁵. It’s definitely more straightforward to understand and …

The goal is to understand them, differentiate them, integrate them, solve equations with them, and invert them (to reach the logarithm). The overwhelming importance of ex makes this a crucial chapter in …

When the bases in an exponential equation cannot be made the same, taking the logarithm of each side is often the best way to solve it. For instance, in the equation 2 x = 3, there’s no simple way to …

This handout is intended to serve as a refresher and reference for using exponential and logarithmic functions. We begin with an explanation of some of the basic properties and definitions associated …