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Jefferson Huera Guzman

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
graph of logarithmic function example 2

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

Categories Algebra
example of trigonometric function with transformations 1

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

Categories Algebra
graph of exponential function example 1

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

Categories Algebra
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