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Natural logarithm (ln(n), loge​(n))

Ciro Santilli (@cirosantilli, 37) Mathematics Area of mathematics Calculus Differential equation Euler number
Updated 2025-07-16  1 By others on same topic  0 Discussions Create my own version
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    • Logarithmic integral function Natural logarithm
    • Euler-Mascheroni constant Natural logarithm

Logarithmic integral function (li(x)=∫0x​lntdt​, Logarithm integral)

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Natural logarithm
Sample software implementations:
  • SymPy: python/sympy_cheat/logarithm_integral.py

Euler-Mascheroni constant

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Natural logarithm
Convergence: math.stackexchange.com/questions/629630/simple-proof-euler-mascheroni-gamma-constant

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Natural logarithm by Wikipedia Bot 0
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The natural logarithm is a logarithm that uses the mathematical constant \( e \) (approximately equal to 2.71828) as its base. It is denoted as \( \ln(x) \), where \( x \) is a positive real number. The natural logarithm answers the question: "To what power must \( e \) be raised to obtain \( x \)?
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