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Introduction to this Portfolio
Welcome to my portfolio on logarithms, radicals, and exponents—three fundamental concepts in mathematics that are essential to many subjects, from advanced calculus to algebra. The ideas, uses, and connections between these mathematical ideas are examined in this portfolio. Each of these ideas' helps in our understanding and effective handling of numbers.
Exponents are crucial in growth models, polynomial functions, and scientific notation because they show how repetitive multiplication can be made simpler. The inverse process is introduced by radicals, that concentrate on roots which assist in the solution of power-based equations and estimation of values for non-perfect squares and cubes. Finally, logarithms are the opposites of exponents; they help us understand scales like the one used for earthquakes and pH in chemistry, represent processes like population increase and decay, and uncover solutions for exponential equations.
This portfolio illustrates how these three related subjects serve as the foundation for data scaling, exponential growth and decay models, and complicated mathematical problem-solving through full explanations, sample problems, and practical examples.
Radicals are mathematical expressions that involve roots, like square roots or cube roots.
An exponent is an algebra notation in which a number or variable is multiplied by itself some numbers of times.
Logarithms are the reverse operation from exponents. That is, as long as exponents answer the question "What is the result of multiplying a base a certain number of times?", logarithms answer the question "To what power must we raise the base to get a certain result?"