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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.
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.
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, \(\log_2 64 = 6,\) because \( 2^6 = 64.\) In general, we have the following definition: \( z \) is the base-\(x\) logarithm of \(y\) if and only if \( x^z = y \). In ...
You'll learn Rules of Logarithms, Logarithm Formula, Exponent and Logarithm relation, its properties and Logarithmic scale. You'll also learn how to use log table and lots of Practice problems with solved examples on Logarithm concept.
28 Μαΐ 2024 · Thus, the logarithm represents the exponent to which a base is raised to yield a given number. How to Undo Logarithms. For example, we know 4 3 = 64. Here, using the logarithm, we can answer how many 4s multiply to get 64.
Logarithm as inverse function of exponential function. The logarithmic function, y = log b (x) is the inverse function of the exponential function, x = by. So if we calculate the exponential function of the logarithm of x (x>0), f (f -1 (x)) = blogb(x) = x. Or if we calculate the logarithm of the exponential function of x,
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".
