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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
laws of natural logarithms

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

Categories Algebra
graph of natural logarithm

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

Categories Algebra
laws of logarithms

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

Categories Algebra
exercises on logarithms

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

Categories Algebra
multiplicity of polynomials

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

Categories Algebra
complex roots of a polynomial

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

Categories Algebra
complex conjugate roots

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

Categories Algebra
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