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.

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!

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 …

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.

In mathematics, many logarithmic identities exist. The following is a compilation of the notable of these, many of which are used for computational purposes.

Introduction to Logarithmic Equations. The basic concept in the field of mathematics, especially in algebra and calculus, is logarithmic equations. They help represent many real-world events …

The fractional part is known as the mantissa. [b] Thus, log tables need only show the fractional part. Tables of common logarithms typically listed the mantissa, to four or five decimal places …