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 …

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 logarithm of y. …

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"

The meaning of LOG is a usually bulky piece or length of a cut or fallen tree; especially : a length of a tree trunk ready for sawing and over six feet (1.8 meters) long.

This free log calculator solves for the unknown portions of a logarithmic expression using base e, 2, 10, or any other desired base.

To calculate the logarithm of a number x with base b, enter your values below. Did we solve your problem today? The log calculator (logarithm) calculates the value of a logarithm with an arbitrary base.

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, or 3 = log 2 8.

Simplify logarithmic expressions using algebraic rules step-by-step. AI may present inaccurate or offensive content that does not represent Symbolab's views. Save to Notebook!

LOG meaning: 1. a thick piece of tree trunk or branch, especially one cut for burning on a fire: 2. a full…. Learn more.

A logarithm is just another way of writing exponents. Here are properties or formulas of logarithms. Understand the log formulas with derivation, examples, and FAQs.