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, …

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

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 …

The natural logarithm (with base e ≅ 2.71828 and written ln n), however, continues to be one of the most useful functions in mathematics, with applications to mathematical models throughout …

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 …

Dec 27, 2025 · In mathematics, a logarithm is the inverse operation of exponentiation. It is defined as the power to which the base number must be raised to get the given number. Logarithms …

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 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, ...

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.

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