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: 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 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 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.

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.

The properties of log include product, quotient, and power rules of logarithms. They are very helpful in expanding or compressing logarithms. Let us learn the logarithmic properties along with their …

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 the …

Logarithm A logarithm is the inverse function of exponentiation. A logarithm tells us the power, y, that a base, b, needs to be raised to in order to equal x. This is written as: log b (x) = y

Nov 6, 2024 · Everything you need to know about the natural log rules. In math, log rules (also known as logarithm rules) are a set of rules or laws that you can use whenever you have to simplify a math …

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 many 4s …