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Article 11 — Appendix A.22log or lg — decimal logarithmic functionCategory. Mathematics. Abstract. Decimal logarithm: definition, graph, properties and identities. References. This article is a part of scientific calculator LiL, scientific calculator LiX, scientific calculator LiLc and scientific calculator LiXc products. 1. DefinitionDecimal logarithmic function is the inverse of the 10base exponential function 10^{x}2. GraphDecimal logarithmic function is defined on positive part of the real axis — so, its domain is (0, +∞). 0 is singular point. Function graph is depicted below — fig. 1. Fig. 1. Graph of the decimal logarithmic function y = logx.Function codomain is entire real axis. 3. IdentitiesBy definition: log10^{x} ≡ xReciprocal argument: log(1/x) = −logxProduct and ratio of arguments: log(xy) = logx + logylog(x /y) = logx − logy Power of argument: logx^{a} = a logxBase change: log_{a}x = logx /logalog_{a}x = log_{b}x /log_{b}a 4. SupportDecimal logarithmic function log or lg is supported in: Decimal logarithmic function of the complex argument log or lg is supported in:
5. How to useTo calculate decimal logarithm of the number:
To calculate decimal logarithm of the current result:
To calculate decimal logarithm of the number x in memory:



