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Showing content from https://cplusplus.com/reference/complex/log10/ below:

function template

<complex>

std::log10 
template<class T> complex<T> log10 (const complex<T>& x);

Common logarithm of complex

Returns the common (base-10) logarithm of the complex number x using the principal branch, whose cuts are along the negative real axis, as if computed by:
This is the complex version of the log10 function (defined in <cmath>).

Parameters
x
Complex value.

Return value Common logarithm of x.

See also
log
Natural logarithm of complex (function template)
exp
Exponential of complex (function template)
pow
Power of complex (function template)
log10 (cmath)
Compute common logarithm (function)

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