Complex Numbers in Polar Form – Formulas and Examples

Complex Numbers in Polar Form – Formulas and Examples

By now we are familiar with writing complex numbers in the form z=a+bi. However, there are alternative ways of writing complex numbers that can be convenient when solving mathematical operations with these numbers. Here, we will learn to write complex numbers in polar...
Euler’s Formula for Complex Numbers

Euler’s Formula for Complex Numbers

In the study of complex numbers, as well as in the integration of trigonometric expressions, it is very likely that we will come across Euler’s Formula. This formula, which is named after the mathematician Leonhard Euler, needs careful examination to understand its...
Exponential Growth – Examples and Practice Problems

Exponential Growth – Examples and Practice Problems

Exponential functions can be used to model population growth scenarios or other situations that follow patterns with growth at fixed rates. There are formulas that can be used to find solutions to most problems related to exponential growth. Here, we will look at a...
Logarithmic Equations – Examples and Practice Problems

Logarithmic Equations – Examples and Practice Problems

Logarithmic equation exercises can be solved using the laws of logarithms. With the laws of logarithms, we can rewrite logarithmic expressions to get more convenient expressions. Depending on the problem, we can end up with two types of logarithmic equations with...
Logarithmic Equations – Examples and Practice Problems

How to solve logarithmic equations?

To solve logarithmic equations, we have to use the laws of logarithms to rewrite the expressions in a more convenient way. After simplifying and reducing the logarithmic expressions, we will generally get one of two types of logarithmic equations. Depending on the...
Logarithmic Scales – Applications and Examples

Logarithmic Scales – Applications and Examples

A logarithmic scale is a non-linear scale that is frequently used to analyze data that vary over a very large range. By using this scale, each interval is increased by a factor that is equal to the base of the logarithm, instead of increasing in equal increments....