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 …

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

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 …

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.

Jul 31, 2025 · The natural logarithmic function, denoted as ln⁡ (x) or loge(x), is the logarithm to the base e, where e≈2.71828 is Euler's number (an irrational mathematical constant).

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

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

In the Wolfram Language, the logarithm to the base is implemented as Log [b, x], while Log [x] gives the natural logarithm, i.e., Log [E, x], where E is the Wolfram Language symbol for e.

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. Fun facts about …

As mentioned earlier for exponential functions, the number \ (e\approx 2.71828\ldots\) is the most convenient base to use in Calculus. For this reason we give the logarithm with base \ (e\) a special …