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Showing content from https://dlmf.nist.gov/4.5 below:

§4.5 Inequalities ‣ Logarithm, Exponential, Powers ‣ Chapter 4 Elementary Functions

§4.5 Inequalities Contents
  1. §4.5(i) Logarithms
  2. §4.5(ii) Exponentials
§4.5(i) Logarithms

For more inequalities involving the logarithm function see Mitrinović (1964, pp. 75–77), Mitrinović (1970, pp. 272–276), and Bullen (1998, pp. 159–160).

§4.5(ii) Exponentials

In (4.5.7)–(4.5.12) it is assumed that x ≠ 0 . (When x = 0 the inequalities become equalities.)

For more inequalities involving the exponential function see Mitrinović (1964, pp. 73–77), Mitrinović (1970, pp. 266–271), and Bullen (1998, pp. 81–83).


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