Return the natural logarithm of one plus the input array, element-wise.

LAX-backend implementation of log1p().

Original docstring below.

Calculates log(1 + x).

  • x (array_like) – Input values.

  • out (ndarray, None, or tuple of ndarray and None, optional) – A location into which the result is stored. If provided, it must have a shape that the inputs broadcast to. If not provided or None, a freshly-allocated array is returned. A tuple (possible only as a keyword argument) must have length equal to the number of outputs.

  • where (array_like, optional) – This condition is broadcast over the input. At locations where the condition is True, the out array will be set to the ufunc result. Elsewhere, the out array will retain its original value. Note that if an uninitialized out array is created via the default out=None, locations within it where the condition is False will remain uninitialized.

  • **kwargs – For other keyword-only arguments, see the ufunc docs.


y – Natural logarithm of 1 + x, element-wise. This is a scalar if x is a scalar.

Return type




M. Abramowitz and I.A. Stegun, “Handbook of Mathematical Functions”, 10th printing, 1964, pp. 67. http://www.math.sfu.ca/~cbm/aands/


Wikipedia, “Logarithm”. https://en.wikipedia.org/wiki/Logarithm