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In this article, we are going to learn the definition of logarithms, two types of logarithms such as common logarithm and natural logarithm, and different properties of logarithms with many solved examples.
4 Αυγ 2024 · Learn about logarithms, a mathematical operation that is the inverse of exponentiation. The logarithm of a number x to the base b is denoted as logb(x), read as "logarithm of x base b."Logarithms are used in a variety of fields, including engineering, science, and finance.
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.
19 Ιουλ 2024 · Logarithms are mathematical functions that help in solving equations involving exponents by translating multiplication of numbers into addition of their exponents. Essentially, a logarithm asks the question: “To what exponent must one number, called the base, be raised to produce another number?”
A logarithm is defined using an exponent. bx = a ⇔ logb a = x. Here, "log" stands for logarithm. The right side part of the arrow is read to be "Logarithm of a to the base b is equal to x". A very simple way to remember this is "base stays as the base in both forms" and "base doesn't stay with the exponent in log form".
A logarithm is the inverse of the exponential function. Specifically, a logarithm is the power to which a number (the base) must be raised to produce a given number. For example, \log_2 64 = 6, log2 64 = 6, because 2^6 = 64. 26 = 64. In general, we have the following definition: z z is the base- x x logarithm of y y if and only if x^z = y xz = y.
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.
