Applications of Logarithms

Logarithms have a large number of applications in real life. Logarithms are especially used to create measurement scales that are … Read more

Properties of Logarithms – Proofs and Examples

The properties of logarithms, also known as the laws of logarithms, are useful as they allow us to expand, condense, … Read more

Quadratic Formula – Examples and Practice Problems

The quadratic formula allows us to solve any type of quadratic equation. This formula is extremely useful since some equations … Read more

Binomials Cubed – Examples and Practice Problems

Binomials cubed exercises can be solved using two methods. The first method consists in multiplying the binomial three times and … Read more

Binomials Squared – Examples and Practice Problems

Binomials squared can be expanded using two main methods. We can write the binomial twice and perform the multiplication using … Read more

Imaginary and Complex Numbers with Exponents

We can perform any mathematical operation with imaginary and complex numbers. Similar to how we can add, subtract, multiply and … Read more

Magnitude of Complex Numbers – Examples and Practice Problems

The magnitude of a complex number is equal to its distance from the origin in the complex plane. The process … Read more

Problems with Complex Numbers

To solve exercises with complex numbers, we have to start by analyzing the operation to be performed. If we have … Read more

Operations with Complex Numbers – Examples and Practice Problems

A complex number is defined as the combination of a real number and an imaginary number. Real numbers are the … Read more

Division of Complex Numbers – Examples and Practice Problems

The division of complex numbers is solved by multiplying both the numerator and denominator by the conjugate of the complex … Read more