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 …

Jan 5, 2026 · 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, …

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 …

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 …

Nov 16, 2022 · In this section we now need to move into logarithm functions. This can be a tricky function to graph right away. There is going to be some different notation that you aren’t used …

Generally, when someone says (or writes) "log" without specifying the base, the convention is to assume base 10. However, there are those who refer to the natural log (ln), as "log." As such, …