Logarithmic Equation

logarithmic_equation(first_constant, second_constant, precision=4)

Generates a logarithmic function to provide evaluations at variable inputs

Parameters

• first_constant (int or float) – Coefficient of the logarithmic term of the resultant logarithmic function; if zero, it will be converted to a small, non-zero decimal value (e.g., 0.0001)

• second_constant (int or float) – Coefficient of the constant term of the resultant logarithmic function; if zero, it will be converted to a small, non-zero decimal value (e.g., 0.0001)

• precision (int, default=4) – Maximum number of digits that can appear after the decimal place of the resultant roots

Raises

• TypeError – First two arguments must be integers or floats

• ValueError – Last argument must be a positive integer

Returns

evaluation – Function for evaluating a logarithmic equation when passed any integer or float argument; if zero inputted as argument, it will be converted to a small, non-zero decimal value (e.g., 0.0001)

Return type

func

See also

logarithmic_derivatives(), logarithmic_integral(), logarithmic_roots(), logarithmic_model()

Notes

• Standard form of a logarithmic function: \(f(x) = a\cdot{\ln{x}} + b\)

• Logarithmic Functions

Examples

Import logarithmic_equation function from regressions library

>>> from regressions.analyses.equations.logarithmic import logarithmic_equation

Create a logarithmic function with coefficients 2 and 3, then evaluate it at 10

>>> evaluation_first = logarithmic_equation(2, 3)
>>> print(evaluation_first(10))
7.6052

Create a logarithmic function with coefficients -2 and 3, then evaluate it at 10

>>> evaluation_second = logarithmic_equation(-2, 3)
>>> print(evaluation_second(10))
-1.6052

Create a logarithmic function with all inputs set to 0, then evaluate it at 10

>>> evaluation_zero = logarithmic_equation(0, 0)
>>> print(evaluation_zero(10))
0.0003