numpy.log10#
- numpy.log10(x,/,out=None,*,where=True,casting='same_kind',order='K',dtype=None,subok=True[,signature])=<ufunc'log10'>#
Return the base 10 logarithm of the input array, element-wise.
- Parameters:
- xarray_like
Input values.
- outndarray, None, or tuple of ndarray and None, optional
A location into which the result is stored. If provided, it must havea shape that the inputs broadcast to. If not provided or None,a freshly-allocated array is returned. A tuple (possible only as akeyword argument) must have length equal to the number of outputs.
- wherearray_like, optional
This condition is broadcast over the input. At locations where thecondition is True, theout array will be set to the ufunc result.Elsewhere, theout array will retain its original value.Note that if an uninitializedout array is created via the default
out=None, locations within it where the condition is False willremain uninitialized.- **kwargs
For other keyword-only arguments, see theufunc docs.
- Returns:
- yndarray
The logarithm to the base 10 ofx, element-wise. NaNs arereturned where x is negative.This is a scalar ifx is a scalar.
See also
Notes
Logarithm is a multivalued function: for eachx there is an infinitenumber ofz such that10**z = x. The convention is to return thez whose imaginary part lies in(-pi, pi].
For real-valued input data types,
log10always returns real output.For each value that cannot be expressed as a real number or infinity,it yieldsnanand sets theinvalid floating point error flag.For complex-valued input,
log10is a complex analytical function thathas a branch cut[-inf, 0] and is continuous from above on it.log10handles the floating-point negative zero as an infinitesimalnegative number, conforming to the C99 standard.In the cases where the input has a negative real part and a very smallnegative complex part (approaching 0), the result is so close to-pithat it evaluates to exactly-pi.
References
[1]M. Abramowitz and I.A. Stegun, “Handbook of Mathematical Functions”,10th printing, 1964, pp. 67.https://personal.math.ubc.ca/~cbm/aands/page_67.htm
[2]Wikipedia, “Logarithm”.https://en.wikipedia.org/wiki/Logarithm
Examples
>>>importnumpyasnp>>>np.log10([1e-15,-3.])array([-15., nan])