In mathematics, the logarithm of a number is the exponent by which another fixed value, the base, must be raised to produce that number. For example, the logarithm of 1000 to base 10 is 3, because 1000 …

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 …

Feb 16, 2026 · Logarithm, the exponent or power to which a base must be raised to yield a given number.

Jul 8, 2025 · To represent y as a function of x, we use a logarithmic function of the form y = log b (x). The base b logarithm of a number is the exponent by which we must raise b to get that number.

Learn about the properties of logarithms that help us rewrite logarithmic expressions, and about the change of base rule that allows us to evaluate any logarithm we want using the calculator.

Learn logarithmic functions through clear definitions, graphs, tables of values, domain and range analysis, asymptotes, change of base formula, and interactive tutorials with detailed explanations.

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.