How to Calculate Logarithm to Base 2 in C/C ?

Logarithmic Calculation with Base 2 in C/C

In the realm of programming, performing logarithmic operations is often necessary. The C language provides built-in functions for logarithmic calculations with base e (log) and base 10 (log10). However, there may be instances where a logarithmic function with base 2 is required.

Solution: Base 2 Logarithm

To calculate the logarithm of a number with base 2, a simple mathematical conversion can be used:

log2(x) = log(x) / log(2)

where:

• x is the number for which the logarithm is being calculated
• log(x) is the natural logarithm of x (calculated using the C library function)
• log(2) is a constant value representing the logarithm of 2 (approximately 0.693147)

Example:

#include <stdio.h>
#include <math.h>

int main() {
    double x = 8;
    double log2x = log(x) / log(2);

    printf("log2(%.2f) = %.2f\n", x, log2x);

    return 0;
}

Output:

log2(8.00) = 3.00

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