IMLN function
Returns the natural logarithm of a complex number
Syntax
IMLN(inumber)Square brackets indicate optional arguments.
Arguments
| Argument | Required | Meaning |
|---|---|---|
| inumber | Yes | A complex number for which you want the natural logarithm."3+4i" |
Try IMLN
Read both coefficients of IMLN for a complex input
=HSTACK(IMREAL(IMLN(A2)),IMAGINARY(IMLN(A2)))For z=0.7-0.4i, ln(z)=ln(abs(z))+i arg(z), using the principal argument. G2 contains the real coefficient and H2 the imaginary coefficient; together they describe the complex result. Trigonometric arguments and phase use radians. Change either coefficient in the input text to explore another value. Logarithms use their principal branch; reciprocals require a nonzero denominator.
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IMLN · inside IMREAL
=HSTACK(IMREAL(IMLN(A2)),IMAGINARY(IMLN(A2)))Follow the cells behind a result
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Reference and compatibility
Univer 1.0.4 / Apache-2.0. Calculation checks cover the supplied examples only. The browser worksheet does not implement every Excel feature, external service or connected data type.