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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.

The base-2 logarithm is implemented in the Wolfram Language as Log2.

See also

Base, Binary Logarithm, Common Logarithm, e, Ln, Logarithm, Napierian Logarithm, Natural Logarithm, Nested Logarithm

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References

Ivić, A. "On a Problem of Erdős Involving the Largest Prime Factor of n." 5 Nov 2003. https://arxiv.org/abs/math/0311056.Taylor, B. N. Guide for the Use of the International System of Units (SI). United States Department of Commerce. NIST Special Publication 811, p. 33, 1995. https://www.nist.gov/pml/special-publication-811.

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Lg

Cite this as:

Weisstein, Eric W. "Lg." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Lg.html

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