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.

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May 10, 2026 · A logarithm is the power to which a base must be raised to produce a given number. In mathematical terms, (x = \log_b n) means that (b^x = n), where x is the logarithm of n to the base b. …

Learn about logarithms, properties, and solving equations with Khan Academy's free Algebra 2 course.

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.

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All terms on top of the fraction inside the logarithm are positive and the log (y 5) is subtracted since it has been divided inside the logarithm. We can then use the power law of logarithms to bring down …