IMLN

  • Updated

Returns the natural logarithm of a complex number.

Sample Usage

IMLN("3+4i")
IMLN(C5)

Syntax

IMLN(complex_number)

  • complex_number - The complex number whose natural logarithm is to be computed.

Examples

IMLN("3+4i") returns a value of 1.6094379124341+0.927295218001612i.
IMLN(C5) returns the natural logarithm of the complex number contained in C5.

Notes

  • IMLN is equivalent to LN for all non-complex values that are greater than zero.
  • IMLN is equivalent to LOG given base of e, or EXP(1) for all non-complex values that are greater than zero.
  • The natural logarithm of a complex number is defined as follows:
    • ln(x+yi) = √(x2+y2) + i tan-1(y/x)