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Lg

There are several conflicting meanings associated with the notation lgx. In German and Russian literature, the notation lgx is used to mean the common logarithm log_(10)x. This is also the usage recommended by the United States Department of Commerce (Taylor 1995, p. 33).

However, lgx is sometimes identified with the binary logarithm log_2x in some number theoretic literature (and here, log_2x mean the base-2 logarithm, not the nested natural logarithm log_2x=lnlnx as defined by Ivić 2003).

Great care is therefore needed to determine the intended definition for lgx when it is encountered in the wild.

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