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Introduction to Logarithms. In its simplest form, a logarithm answers the question: How many of one number multiply together to make another number? Example: How many 2 s multiply together to make 8? Answer: 2 × 2 × 2 = 8, so we had to multiply 3 of the 2 s to get 8. So the logarithm is 3. How to Write it. We write it like this: log2(8) = 3.
Logarithmic Equations. We have already seen that every logarithmic equation logb(x)= y l o g b (x) = y is equal to the exponential equation by = x b y = x. We can use this fact, along with the rules of logarithms, to solve logarithmic equations where the argument is an algebraic expression.
The natural logarithm has the number e ≈ 2.718 as its base; its use is widespread in mathematics and physics because of its very simple derivative. The binary logarithm uses base 2 and is frequently used in computer science. Logarithms were introduced by John Napier in 1614 as a means of simplifying calculations. [1] .
The purpose of solving a logarithmic equation is to find the value of the unknown variable. In this article, we will learn how to solve the general two types of logarithmic equations, namely: Equations containing logarithms on one side of the equation. Equations with logarithms on opposite sides of the equal to sign.
A logarithmic equation is an equation that involves the logarithm of an expression containing a varaible. What are the 3 types of logarithms? The three types of logarithms are common logarithms (base 10), natural logarithms (base e), and logarithms with an arbitrary base.
The logarithmic function is the inverse function of exponentiation. Visit BYJU'S to learn the formulas, important properties and rules used in logarithms with examples.
28 Μαΐ 2024 · What is a logarithm and how it works with examples. How to solve logarithmic equations is explained with the formula. Also, learn natural and common logarithms.
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