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

Given a positive real number b such that b ≠ 1, the logarithm of a positive real number x with respect to base b[nb 1] is the exponent by which b must be raised to yield x.

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.

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!

In order to calculate log -1 (y) on the calculator, enter the base b (10 is the default value, enter e for e constant), enter the logarithm value y and press the = or calculate button:

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 "log" button.

The log calculator is a free and easy-to-use tool that makes the logarithm calculation easier and faster. In addition, it allows you to add, subtract, multiply, and divide two logs.

The logarithm (log) operation in mathematics is the inverse to exponentiation, meaning that the log of a number is the exponent to which another fixed number called a "base" was raised to produce the …

3. log 1 = 0 means that the logarithm of 1 is always zero, no matter what the base of the logarithm is. This is because any number raised to 0 equals 1. Therefore, ln 1 = 0 also. All the rest of the …

Traditionally, a base of 10 is assumed in logarithms, but a base can be any number (except 1). The binary logarithm of x is typically written as log 2 x or lb x. However, a base of e is typically written as …