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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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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.

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.

Solving Exponential Equations: Logarithms provide a way to solve equations involving exponents. When you have an equation of the form a^x = b, taking the logarithm of both sides allows you to solve for x. …

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 …