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, …

In its simplest form, a logarithm answers the question: How many of one number multiply together to make another number? Example: How many 2 s multiply together to make 8? Answer: 2 × 2 …

Apr 21, 2025 · logarithm, the exponent or power to which a base must be raised to yield a given number. Expressed mathematically, x is the logarithm of n to the base b if bx = n, in which …

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.

Apr 7, 2025 · In mathematics, a logarithm is the inverse operation of exponentiation. It is defined as the power to which the base number must be raised to get the given number. Logarithms …

The logarithmic function, y = log b (x) is the inverse function of the exponential function, x = b y. So if we calculate the exponential function of the logarithm of x (x>0), f (f -1 (x)) = b log b (x) = …

Specifically, a logarithm is the power to which a number (the base) must be raised to produce a given number. For example, \log_2 64 = 6, log2 64 = 6, because 2^6 = 64. 26 = 64. In general, …

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.

Here is the mathematical definition of logs. A logarithm is defined using an exponent. Here, "log" stands for logarithm. The right side part of the arrow is read to be "Logarithm of a to the base b …

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 …