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. …

But Sometimes There Is Confusion ... ! Mathematicians may use "log" (instead of "ln") to mean the natural logarithm. This can lead to confusion: ... So, be careful when you read "log" that you know …

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.

Learn the eight (8) log rules or laws to help you evaluate, expand, condense, and solve logarithmic equations. Try out the log rules practice problems for an even better understanding.

Nov 6, 2024 · The following free guide to the Log Rules shares and explains the rules of logs (including exponent log rules), what they represent, and, most importantly, how you can use them to simplify a …

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!

The log rules are very helpful in simplifying the logarithms. These rules are applied in the same manner for both natural logs and common logs. Learn more about logarithm rules along with examples.

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.