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 …

Exponents and Logarithms are related, let's discover how ... The exponent says how many times to use the number in a multiplication. In this example: 23 = 2 × 2 × 2 = 8. So an exponent gives you this …

Jan 5, 2026 · Logarithms of the latter sort (that is, logarithms with base 10) are called common, or Briggsian, logarithms and are written simply log n. Invented in the 17th century to speed up …

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 logarithm of y. …

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.

Jan 7, 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 …

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

What is a logarithm in easy terms? Keep in mind that whenever you are looking for the logarithm, you are looking for an exponent, or the number that tells how many times the base is multiplied. For …

Two of the most commonly used bases are base 10 (common logarithm) and base e (natural logarithm). Generally, when someone says (or writes) "log" without specifying the base, the convention is to …

Jul 8, 2025 · To represent y as a function of x, we use a logarithmic function of the form y = log b (x). The base b logarithm of a number is the exponent by which we must raise b to get that number.