LN

    Math & Trig

    Returns the natural logarithm (base e) of a number.

    Translations
    EnglishLN
    FrenchLN
    SpanishLN
    GermanLN
    ItalianLN
    PortugueseLN
    DutchLN
    PolishLN
    RussianLN
    TurkishLN
    CzechLN
    HungarianLN
    SwedishLN
    DanishLN
    FinnishLUONNLOG
    Syntax
    LN(number)

    Arguments

    • numberPositive number
    Examples
    =LN(1)
    0

    LN of 1 is always 0

    =LN(EXP(1))
    1

    LN and EXP are inverses

    =LN(2.718)
    ~1

    LN of e is 1

    Tips & Best Practices
    • e is approximately 2.71828
    • Use EXP to reverse LN
    • Common in growth calculations
    Common Mistakes
    • Applying LN to zero or a negative number, which returns a #NUM! error since the natural logarithm is only defined for positive numbers
    • Confusing LN with LOG10 or a base-10 LOG - LN specifically uses the mathematical constant e as its base, not 10
    • Forgetting that LN and EXP are inverse operations, leading to redundant nested formulas like LN(EXP(x)) when x alone would suffice
    Related Functions
    EXPPerforms the inverse operation - raises e to a given power, undoing what LN calculates.
    LOGCalculates a logarithm with any specified base, of which LN is the special case where the base is e.
    LOG10Calculates a base-10 logarithm specifically, a different fixed base than LN's base of e.
    Frequently Asked Questions

    Why does LN return #NUM!?

    The input is zero or negative - the natural logarithm is only defined for positive real numbers.

    What's the difference between LN and LOG?

    LN always uses base e, the mathematical constant approximately equal to 2.71828. LOG lets you specify any base, defaulting to 10 if you don't.

    How do I reverse a natural logarithm calculation?

    Use EXP - if LN(x) gives you a result, EXP of that result returns you to x, since they're inverse operations.

    Need to translate a formula using LN?

    Use our translator to convert your complete formula