The way to represent log functions in MATLAB

To represent logarithmic functions in MATLAB, you can utilize the built-in log function for natural logarithms and log10 for base 10 logarithms. For arbitrary bases, employ the change-of-base formula: log(x) / log(a).

Here’s an example:

% Natural logarithm
y = log(10); % Approximately 2.3026

% Base 10 logarithm
y = log10(100); % 2

% Arbitrary base (e.g., base 5)
a = 5;
x = 25;
y = log(x) / log(a); % y is approximately 2

% Natural logarithm

y = log(10); % Approximately 2.3026

% Base 10 logarithm

y = log10(100); % 2

% Arbitrary base (e.g., base 5)

a = 5;

x = 25;

y = log(x) / log(a); % y is approximately 2

Custom Function for Repeated Use:

function y = customLog(x, a)
    if a <= 0 || x <= 0
        error(‘Both base and argument must be positive real numbers.’);
    end
    y = log(x) / log(a);
end

% Usage:
y = customLog(25, 5); % y is 2

function y = customLog(x, a)

if a <= 0 || x <= 0

error(‘Both base and argument must be positive real numbers.’);

end

y = log(x) / log(a);

end

% Usage:

y = customLog(25, 5); % y is 2

This approach ensures accurate computation of logarithms for various bases while handling potential input errors.