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, …

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 …

Sometimes a logarithm is written without a base, like this: This usually means that the base is really 10. It is called a "common logarithm". Engineers love to use it. On a calculator it is the …

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 …

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!

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.

Sep 26, 2025 · Expressed in terms of common logarithms, this relationship is given by log mn = log m + log n. For example, 100 × 1,000 can be calculated by looking up the logarithms of 100 …

The properties of log include product, quotient, and power rules of logarithms. They are very helpful in expanding or compressing logarithms. Let us learn the logarithmic properties along …

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 …