The abbreviation log x is often used when the intended base can be inferred based on the context or discipline, or when the base is indeterminate or immaterial.

In its simplest form, a logarithm answers the question: How many of one number multiply together to make another number?

Log z = ln (r) + i (θ+2nπ) = ln (√ (x2 + y2)) + i ·arctan (y/x)) Logarithm problems and answers Problem #1 Find x for log 2 (x) + log 2 (x -3) = 2 Solution: Using the product rule: log 2 (x∙ (x -3)) = 2 Changing …

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

The log calculator (logarithm) calculates the value of a logarithm with an arbitrary base.

Feb 16, 2026 · 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.

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.

Outlook ... Outlook

The logarithmic equation is one that uses logarithms, the unknown variable in the equation is included in the argument of the logarithm (the expression within the log).

List of the Logarithm Laws The following table shows the complete list of log laws with examples of how they are used: ... Here is a visual list of 5 of the most commonly used logarithm laws. The colours …