Logarithmic Roots

logarithmic_roots(first_constant, second_constant, precision=4)

Calculates the roots of a logarithmic function

Parameters

  • first_constant (int or float) – Coefficient of the logarithmic term of the original 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 original 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

roots – List of the x-coordinates of all of the x-intercepts of the original function

Return type

list of float

See also

logarithmic_equation(), logarithmic_derivatives(), logarithmic_integral(), logarithmic_model()

Notes

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

  • Logarithmic formula: \(x = \text{e}^{-\frac{b}{a}}\)

Examples

Import logarithmic_roots function from regressions library
>>> from regressions.analyses.roots.logarithmic import logarithmic_roots
Calculate the roots of a logarithmic function with coefficients 2 and 3
>>> roots_first = logarithmic_roots(2, 3)
>>> print(roots_first)
[0.2231]
Calculate the roots of a logarithmic function with coefficients -2 and 3
>>> roots_second = logarithmic_roots(-2, 3)
>>> print(roots_second)
[4.4817]
Calculate the roots of a logarithmic function with all inputs set to 0
>>> roots_zeroes = logarithmic_roots(0, 0)
>>> print(roots_zeroes)
[0.3679]