The number we multiply is called the base, so we can say: "the logarithm of 8 with base 2 is 3" or "log base 2 of 8 is 3" or "the base-2 log of 8 is 3"

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, …

Sep 26, 2025 · Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which case one writes x = log b n. For example, 2 3 = 8; therefore, 3 is the logarithm of 8 to base 2, …

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 …

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 …

May 28, 2024 · Thus, the logarithm represents the exponent to which a base is raised to yield a given number. For example, we know 4 3 = 64. Here, using the logarithm, we can answer how …

Here, "log" stands for logarithm. The right side part of the arrow is read to be "Logarithm of a to the base b is equal to x". A very simple way to remember this is "base stays as the base in …

A logarithm is the power to which a number must be raised in order to get some other number (see Section 3 of this Math Review for more about exponents). For example, the base ten …

Learn what is a logarithm is and how to easily calculate it using a log calculator. This beginner-friendly guide breaks down basics of logs with examples and tips

Logarithm A logarithm is the inverse function of exponentiation. A logarithm tells us the power, y, that a base, b, needs to be raised to in order to equal x. This is written as: log b (x) = y