Exponential Equation Definitions and Examples
Introduction
After reading this article, you will be familiar with the exponential equation, its definitions and examples. Additionally, you will understand how the exponential equation relates to mathematics and real-world scenarios. By the end of this article, you will have a better understanding of what is meant by an exponential equation, as well as examples of where it can be used. Armed with this knowledge, you will be better equipped to understand and use exponential equations in your studies and work life.
Exponential Equations
An exponential equation is a mathematical equation in which the exponent appears directly after the base. The simplest type of exponential equation is an equation in one variable, such as x = 4e^{-5}. This equation describes how much an individual’s height (in meters) increases by 5 cm each day for 5 days.
More complex exponential equations involve more than one variable. For example, x = Ae^{-bx} describes how the value of a chemical compound (in grams) changes according to the amount of poison gas that was added to it on Day 1, the amount of poison gas that was added to it on Day 2, and so on.
What are Exponential Equations?
An exponential equation is a mathematical equation in which the coefficients of the variables are all increasing or decreasing exponentially. This type of equation is most commonly used to describe growth or decay over time, but can also be used for other purposes.
There are two main types of exponential equations: hyperbolic and parabolic. Hyperbolic equations describe situations where the rate of increase or decrease is greater than the rate at which the initial conditions change. Parabolic equations describe situations where the rate of increase or decrease is less than the rate at which the initial conditions change.
There are a few things to keep in mind when working with exponential equations: 1) always use parentheses to clarify which variable is being multiplied by what; 2) be careful when solving them; and 3) make sure your graph reflects your results correctly.
