## Laws of Natural Logarithms – Definition and Examples

With the laws of natural logarithms, we can simplify logarithmic expressions and rewrite them in more convenient ways. We have … Read more

## Properties of Natural Logarithms

The properties of natural logarithms are important as they help us to simplify and solve logarithm problems that at first … Read more

## Laws of Logarithms – Definition and Examples

The laws of logarithms allow us to rewrite logarithmic expressions to form more convenient expressions. There are seven main laws … Read more

## Exercises on Logarithms

Logarithmic expressions can be simplified, expanded, and solved using the laws of logarithms. The laws of logarithms tell us different … Read more

## What is the multiplicity of a polynomial?

The multiplicity of roots refers to the number of times each root appears in a given polynomial. Determining the multiplicity … Read more

## Complex Roots of a Polynomial – Examples and Practice Problems

The number of roots in a polynomial is equal to the degree of that polynomial. For example, in quadratic polynomials, … Read more

## Complex Conjugate Roots – Examples and Practice Problems

The complex conjugate roots of a polynomial are those complex roots that are conjugate to each other. Remember that conjugates … Read more

## Domain and Range of Logarithmic Functions

Logarithmic functions are the inverse functions of the exponential functions. This means that their domain and range are swapped. The … Read more

## Domain and Range of Trigonometric Functions

All trigonometric functions are basically the trigonometric proportions of any given angle. For example, if we take the functions \$latex … Read more

## Domain and Range of Exponential Functions

The domain of exponential functions is equal to all real numbers since we have no restrictions with the values that x can … Read more