# Larger of a^b or b^a in C++

In this tutorial, we are going to write a program that finds out the larger among the ab and ba

It's a straightforward problem. Let's see the steps to solve it.

• Initialise the values of a and b.
• Take the log of both the values.
• Compute the values of $b\:\log\:a$ and $a\:\log\:b$﻿
• Compare the both values.
• If $a\:\log\:b$ is greater than $b\:\log\:a$, then print bais greater.
• If $b\:\log\:a$﻿ is greater than $a\:\log\:b$﻿, then print abis greater.
• Else print both are equal.

## Example

Let's see the code.

Live Demo

#include <bits/stdc++.h>
using namespace std;
int main() {
int a = 4, b = 7;
long double x = (long double) a * (long double)(log((long double)(b)));
long double y = (long double) b * (long double)(log((long double)(a)));
if (y > x) {
cout << "a ^ b is greater" << endl;
}else if (y < x) {
cout << "b ^ a is greater" << endl;
}else {
cout << "Both are equal" << endl;
}
return 0;
}

## Output

If you run the above code, then you will get the following result.

a ^ b is greater

## Conclusion

If you have any queries in the tutorial, mention them in the comment section.

Updated on: 09-Apr-2021

190 Views