Antilog Calculator

The antilog, short for antilogarithm, is simply the inverse of a logarithm, the operation that undoes a log and gets you back to the original number, and this calculator works it out for any base you like. If taking a logarithm asks the question what power do I raise the base to in order to get this number, then taking the antilog answers the reverse: it raises the base to that power and hands you the number. So the antilog of a value x in base b is just b raised to the power x. Enter the value and the base, and the calculator returns the antilog instantly, and because base 10 and the natural base e are by far the most common, it shows both the base-10 antilog and the natural antilog alongside your chosen base for easy reference. Antilogs matter wherever logarithms are used to compress a wide range of numbers into a manageable scale, which is a lot of places: converting a pH back into a hydrogen ion concentration, turning a decibel level back into a power ratio, recovering a value from a log scale on a graph, undoing the log step in a calculation, or working with the old logarithm tables that engineers and scientists once relied on. It is also a clean way for students to check that they understand the relationship between logs and powers, since the antilog should always return exactly what you started the log with. The calculator updates as you type, so you can explore how changing the base or the exponent changes the result, and how the antilog of 0 is always 1. The formula and a worked example are explained below.

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