使用Log函数查找数字的立方根

给定数字N ，任务是使用对数函数查找多维数据集根。
例子：

Input: N = 8 
Output: 2.000000
Input: N = 27 
Output: 3.000000 
 

方法：为了解决上述问题，我们将根据以下公式使用log()函数：

Let cube root of N be d. 
=> ∛N = d 
=> N^(1/3) = d 
Now, apply log on both sides: 
log₃ (N^(1/3)) = log₃ (d) 
=> log₃ (d) = 1/3 * log₃ (N) 
=> d = 3^{(1/3 * log₃ (N))} 
 

下面是上述问题的实现：

C++

// C++ program to Find Cube root
// of a number using Logarithm
 
#include 
 
// 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

// 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

# 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#

// 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

Javascript

// 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
 

输出：

2.00