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exponential growth and exponential decay

Exponential Decay - Formulas and Examples

We can model real-life situations with exponential functions. One of these situations is population decline. There are “standard” formulas that ... Read more

Categories Algebra
pascals triangle diagram

Properties of Pascal's Triangle

Pascal’s triangle is a type of number pattern. The numbers are arranged in a way that reflects a triangle. First, ... Read more

Categories Algebra
pascals triangle diagram

Applications of Pascal's Triangle

Pascal’s triangle has many applications in mathematics and statistics. We can use Pascal’s triangle to find the binomial expansion. Also, ... Read more

Categories Algebra
complex numbers in polar form

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 ... Read more

Categories Algebra
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 ... Read more

Categories Algebra
applications of exponential functions

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 ... Read more

Categories Algebra
laws of natural logarithms

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 ... Read more

Categories Algebra
laws of natural logarithms

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 ... Read more

Categories Algebra
application of logarithms decibel scale

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 ... Read more

Categories Algebra
change of base of logarithms

Change of Base of Logarithms - Rule and Examples

The formula for change of bases of logarithms can be useful when we do not have calculators that allow us ... Read more

Categories Algebra
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