The concept of logarithm as the inverse of exponentiation extends to other mathematical structures as well. However, in general settings, the logarithm tends to be a multi-valued function. For example, …

The base b logarithm of a number is the exponent that we need to raise the base in order to get the number. The logarithm of the multiplication of x and y is the sum of logarithm of x and logarithm of y. …

Nov 16, 2022 · We give the basic properties and graphs of logarithm functions. In addition, we discuss how to evaluate some basic logarithms including the use of the change of base formula.

A logarithmic function involves logarithms. Its basic form is f (x) = log x or ln x. Learn about the conversion of an exponential function to a logarithmic function, know about natural and common …

In its simplest form, a logarithm answers the question: How many of one number multiply together to make another number?

May 24, 2024 · The basic form of a logarithmic function is y = f (x) = log b x (0 < b ≠ 1), which is the inverse of the exponential function b y = x. The logarithmic functions can be in the form of ‘base-e …

Jul 31, 2025 · Logarithmic functions are referred to as the inverse of the exponential function. In other words, the functions of the form f (x) = logbx are called logarithmic functions where b represents the …

Learn logarithmic functions in Maths: formula, properties, graphs, and easy stepwise solutions for exams. Master log rules and practice with solved examples now.

Feb 1, 2025 · The answer to that question is the output of the function log a. When in particular the base is the special number e, we write log e x as ln x, and call it the natural log of x.

For any b> 0, b ≠ 1, the logarithmic function with base b, denoted log b, has domain (0, ∞) and range (∞, ∞), and satisfies. log b (x) = y if and only if b y = x. For example, log 2 (8) = 3 since 2 3 = 8, log 10 (1 …