log10() [6/8]

template<typename T , require_arithmetic_t< T > * = nullptr>

auto stan::math::log10 ( T &&  a )

inline

Return the base 10 logarithm of the arithmetic argument.

Return the base 10 log of the specified variable (cmath).

Return the base 10 logarithm of the complex argument.

Template Parameters

V	Arithmetic argument

Parameters

[in]

x

argument

Returns

base 10 logarithm of the argument

Template Parameters

V	complex<Arithmetic> argument

Parameters

[in]

x

argument

Returns

base 10 logarithm of the argument

The derivative is defined by

\(\frac{d}{dx} \log_{10} x = \frac{1}{x \log 10}\).

\[ \mbox{log10}(x) = \begin{cases} \textrm{NaN} & \mbox{if } x < 0\\ \log_{10}(x) & \mbox{if } x \geq 0 \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]

\[ \frac{\partial\, \mbox{log10}(x)}{\partial x} = \begin{cases} \textrm{NaN} & \mbox{if } x < 0\\ \frac{1}{x \ln10} & \mbox{if } x\geq 0 \\[6pt] \textrm{NaN} & \mbox{if } x = \textrm{NaN} \end{cases} \]

Template Parameters

T	Arithmetic or a type inheriting from EigenBase.

Parameters

a	Variable whose log is taken.

Returns

Base 10 log of variable.

Definition at line 23 of file log10.hpp.