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Actually we don't. Any number greater than 1 can be used; it need not even be a whole number. In computer science, the number 2 is often used as a base; in advanced math, the number "e" is often used - this number is approximately 2.71828..., and for theoretical reasons it is considered to be the most "natural" base for logarithms. In fact, the logarithms in base "e" are called "natural logarithms".

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Q: Why we always take base 10 in logarithm?
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