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?

Jul 23, 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 …

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 …

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 …

Use the properties of logarithms to write as a single logarithm for the given equation: 5 log 9 x + 7 log 9 y – 3 log 9 z

In simple terms, it tells you what exponent or power you need to raise a base to get a given number. The most common form is f (x) = logb(x) where b (the base) is a positive number not …

Oct 16, 2025 · Logarithms, the inverse of exponential functions, show the power a base must be raised to produce a number. They are essential for mathematics, science, astronomy, and …

Logarithmic functions are the inverse of exponential functions and are used to solve equations involving exponents. Represented as f (x) = logb(x), they determine the power to which a base …

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.