# Find the larger exponential among two exponentials

Given four integers A, B, C and D. The task is to find which is greater AB or CD.

Examples:

Input: A = 2, B = 5, C = 4, D = 2
Output: 2^5
25 = 32
42 = 16

Input: A = 8, B = 29, C = 60, D = 59
Output: 60^59

## Recommended: Please try your approach on {IDE} first, before moving on to the solution.

Naive approach: Calculate the values of AB and CD then compare them. This approach will fail when the values are greater say 562145321457.

Efficient approach: Using log, we can write the terms as log(AB) and log(CD) which can also be written as B * log(A) and D * log(C). These values are easier to calculate and compare than the original values.

Below is the implementation of the above approach:

## C++

 `// C++ implementation of the approach ` ` `  `#include ` `using` `namespace` `std; ` ` `  `// Function to find whether a^b is greater or c^d ` `void` `compareValues(``int` `a, ``int` `b, ``int` `c, ``int` `d) ` `{ ` ` `  `    ``// Find b * log(a) ` `    ``double` `log1 = ``log10``(a); ` `    ``double` `num1 = log1 * b; ` ` `  `    ``// Find d * log(c) ` `    ``double` `log2 = ``log10``(c); ` `    ``double` `num2 = log2 * d; ` ` `  `    ``// Compare both values ` `    ``if` `(num1 > num2) ` `        ``cout << a  << ``"^"`  `<<  b; ` `    ``else` `        ``cout << c << ``"^"` `<< d; ` `} ` ` `  `// Driver code ` `int` `main () ` `{ ` `    ``int` `a = 8, b = 29, c = 60, d = 59; ` `    ``compareValues(a, b, c, d); ` `} ` ` `  ` `  `// This code is contributed by ihritik `

## Java

 `// Java implementation of the approach ` `class` `GFG { ` ` `  `    ``// Function to find whether a^b is greater or c^d ` `    ``static` `void` `compareValues(``int` `a, ``int` `b, ``int` `c, ``int` `d) ` `    ``{ ` ` `  `        ``// Find b * log(a) ` `        ``double` `log1 = Math.log10(a); ` `        ``double` `num1 = log1 * b; ` ` `  `        ``// Find d * log(c) ` `        ``double` `log2 = Math.log10(c); ` `        ``double` `num2 = log2 * d; ` ` `  `        ``// Compare both values ` `        ``if` `(num1 > num2) ` `            ``System.out.println(a + ``"^"` `+ b); ` `        ``else` `            ``System.out.println(c + ``"^"` `+ d); ` `    ``} ` ` `  `    ``// Driver code ` `    ``public` `static` `void` `main(String[] args) ` `    ``{ ` `        ``int` `a = ``8``, b = ``29``, c = ``60``, d = ``59``; ` `        ``compareValues(a, b, c, d); ` `    ``} ` `} `

## Python3

 `# Python3 implementation of the approach ` `import` `math ` ` `  `# Function to find whether  ` `# a^b is greater or c^d ` `def` `compareValues(a, b, c, d):  ` `# Find b * log(a) ` `    ``log1 ``=` `math.log10(a) ` `    ``num1 ``=` `log1 ``*` `b ` ` `  `    ``# Find d * log(c) ` `    ``log2 ``=` `math.log10(c) ` `    ``num2 ``=` `log2 ``*` `d ` ` `  `    ``# Compare both values ` `    ``if` `num1 > num2 : ` `        ``print``(a, ``'^'``, b) ` `    ``else` `: ` `        ``print``(c, ``'^'``, d) ` ` `  `# Driver code ` `a ``=` `8` `b ``=` `29` `c ``=` `60` `d ``=` `59` ` `  `# Function call ` `compareValues(a, b, c, d) ` ` `  `# This code is contributed by nidhiva `

## C#

 `// C# implementation of the approach ` `using` `System; ` ` `  `class` `GFG  ` `{ ` ` `  `    ``// Function to find whether ` `    ``// a^b is greater or c^d ` `    ``static` `void` `compareValues(``int` `a, ``int` `b,  ` `                              ``int` `c, ``int` `d) ` `    ``{ ` ` `  `        ``// Find b * log(a) ` `        ``double` `log1 = Math.Log10(a); ` `        ``double` `num1 = log1 * b; ` ` `  `        ``// Find d * log(c) ` `        ``double` `log2 = Math.Log10(c); ` `        ``double` `num2 = log2 * d; ` ` `  `        ``// Compare both values ` `        ``if` `(num1 > num2) ` `            ``Console.WriteLine(a + ``"^"` `+ b); ` `        ``else` `            ``Console.WriteLine(c + ``"^"` `+ d); ` `    ``} ` ` `  `    ``// Driver code ` `    ``public` `static` `void` `Main () ` `    ``{ ` `        ``int` `a = 8, b = 29, c = 60, d = 59; ` `        ``compareValues(a, b, c, d); ` `    ``} ` `} ` ` `  `// This code is contributed by ihritik `

Output:

```60^59
```

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A 3rd-year Computer Science and Engineering undergraduate student at IERT, Allahabad with an interest in Programming, Data Science/AI and web development

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