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 …

Sometimes a logarithm is written without a base, like this: log (100) This usually means that the base is really 10. It is called a "common logarithm".

May 10, 2026 · In general, finer intervals are required for calculating logarithmic functions of smaller numbers—for example, in the calculation of the functions log sin x and log tan x.

Learn about the properties of logarithms that help us rewrite logarithmic expressions, and about the change of base rule that allows us to evaluate any logarithm we want using the calculator.

Dec 20, 2012 · We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic …

Apr 21, 2026 · A logarithmic function is the inverse of an exponential function and is defined for positive real numbers with a positive base (not equal to 1). The logarithmic function to the base b is …

To understand logarithms, it is sufficient to know that a logarithmic equation is just another way of writing an exponential equation. Logarithm and exponent are inverse forms of each other.

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.

May 28, 2024 · What is a logarithm and how it works with examples. How to solve logarithmic equations is explained with the formula. Also, learn natural and common logarithms.

Free Logarithms Calculator - Simplify logarithmic expressions using algebraic rules step-by-step