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.

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 …

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

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

5 days ago · The meaning of LOG is a usually bulky piece or length of a cut or fallen tree; especially : a length of a tree trunk ready for sawing and over six feet (1.8 meters) long.

May 10, 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.

Free Logarithms Calculator - Simplify logarithmic expressions using algebraic rules step-by-step

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The log rules are very helpful in simplifying the logarithms. These rules are applied in the same manner for both natural logs and common logs. Learn more about logarithm rules along with examples.