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, because 1000 …

Sometimes a logarithm is written without a base, like this: This usually means that the base is really 10. It is called a "common logarithm". Engineers love to use it. On a calculator it is the "log" button.

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Logarithms undo exponentiation; in a sense, they are themselves exponents. But the "working-backwards" aspect of logs makes them hard to understand.

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Logarithm is another way of writing exponent. The problems that cannot be solved using only exponents can be solved using logs. Learn more about logarithms and rules to work on them in detail.

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First, we must know the basic structure of a logarithm ((abbreviated log log for convenience)). log a b = c logab = c can be rewritten as a c = b, ac = b, where a a is called the base, c c the exponent, and b b …

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