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If I see a formula that contains LOG, but does not specify as base, how do I know what base they're referring to? Programming languages assume LOG means base e. My calculator assumes LOG means base 10. I've seen math teachers assume it meant base e. If its base anything other than 10 or e, the base is always specified as a subscript. We've got LN to unambiguously describe base e. Why the ambiguity with LOG?