Encuentra la raíz cúbica de un número usando la función Log

Dado el número N , la tarea es encontrar la raíz cúbica usando la función de registro.
Ejemplos:
 

Entrada: N = 8 
Salida: 2.000000
Entrada: N = 27 
Salida: 3.000000 
 

Planteamiento: Para resolver el problema mencionado anteriormente utilizaremos la función log(), según la siguiente fórmula:
 

Sea d la raíz cúbica de N. 
=> ∛N = d 
=> N ^(1/3) = d 
Ahora, aplica log en ambos lados: 
log ₃ (N ^(1/3) ) = log ₃ (d) 
=> log ₃ (d) = 1/ 3 * log ₃ (N) 
=> d = 3 ^{(1/3 * log ₃ (N))} 
 

A continuación se muestra la implementación del problema anterior: 
 

// C++ program to Find Cube root
// of a number using Logarithm
 
#include <bits/stdc++.h>
 
// Function to find the cube root
double cubeRoot(double n)
{
    // calculate the cube root
    double ans = pow(3, (1.0 / 3)
                            * (log(n) / log(3)));
 
    // Return the final answer
    return ans;
}
 
// Driver code
int main()
{
    double N = 8;
 
    printf("%.2lf ", cubeRoot(N));
 
    return 0;
}

// Java program to Find Cube root
// of a number using Logarithm
class GFG{
     
// Function to find the cube root
static double cubeRoot(double n)
{
     
    // Calculate the cube root
    double ans = Math.pow(3, ((1.0 / 3) *
                              (Math.log(n) /
                               Math.log(3))));
 
    // Return the final answer
    return ans;
}
 
// Driver code
public static void main(String[] args)
{
    double N = 8;
    System.out.printf("%.2f", cubeRoot(N));
}
}
 
// This code is contributed by Rajput-Ji

# Python3 program to find cube root
# of a number using logarithm
import numpy as np
 
# Function to find the cube root
def cubeRoot(n):
 
    # Calculate the cube root
    ans = pow(3, (1.0 / 3) * (np.log(n) /
                              np.log(3)))
 
    # Return the final answer
    return ans
 
# Driver code
N = 8
 
print("%.2f" % cubeRoot(N))
 
# This code is contributed by PratikBasu

// C# program to find cube root
// of a number using logarithm
using System;
 
class GFG{
     
// Function to find the cube root
static double cubeRoot(double n)
{
     
    // Calculate the cube root
    double ans = Math.Pow(3, ((1.0 / 3) *
                              (Math.Log(n) /
                               Math.Log(3))));
 
    // Return the readonly answer
    return ans;
}
 
// Driver code
public static void Main(String[] args)
{
    double N = 8;
     
    Console.Write("{0:F2}", cubeRoot(N));
}
}
 
// This code is contributed by sapnasingh4991

<script>
// javascript  program to Find Cube root
// of a number using Logarithm
 
 
// Function to find the cube root
function cubeRoot( n)
{
 
    // calculate the cube root
    let ans = Math.pow(3, (1.0 / 3)
                            * (Math.log(n) / Math.log(3)));
 
    // Return the final answer
    return ans;
}
 
// Driver code
let N = 8;
document.write( cubeRoot(N).toFixed(2));
     
// This code is contributed by todaysgaurav
 
</script>

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