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, …

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 …

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 …

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, or 3 = log 2 8.

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 · Thus, the logarithm represents the exponent to which a base is raised to yield a given number. For example, we know 4 3 = 64. Here, using the logarithm, we can answer how …

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 …

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 …

An exponential equation is converted into a logarithmic equation and vice versa using b x = a ⇔ log b a = x. A common log is a logarithm with base 10, i.e., log 10 = log.

Aug 13, 2025 · Logarithm is a mathematical function that represents the exponent to which a fixed number, known as the base, must be raised to produce a given number. In other words, it is …