On a calculator it is the "log" button. It is how many times we need to use 10 in a multiplication, to get our desired number. Another base that is often used is e (Euler's Number) which is about …

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, …

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.

Jul 28, 2025 · 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, …

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.

Nov 6, 2024 · The following free guide to the Log Rules shares and explains the rules of logs (including exponent log rules), what they represent, and, most importantly, how you can use …

log b (a) is defined when the base b is positive—and not equal to 1 —and the argument a is positive. These restrictions are a result of the connection between logarithms and exponents.

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.

Discover the 7 key logarithm rules with clear examples. Perfect for students learning log properties for 2025 exams.

Learn the fundamentals of logarithms, including their definition, types, rules, and properties. A comprehensive guide to Solve word problems using logarithms.