# Power of Three in Python

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Suppose we have a number n. We have to check whether the number is the power of 3 or not. So if the number is like n = 27, that is the power of 3, the result will be true, if n = 15, it will be false.

To solve this, we will follow these steps −

• We will use the Logarithm to solve this
• if [log10(n) / log10(3)] mod 1 == 0, then it will be power of three, otherwise not

## Example

Let us see the following implementation to get a better understanding −

Live Demo

class Solution(object):
def isPowerOfThree(self, n):
"""
:type n: int
:rtype: bool
"""
if not n or n<0:
return False
return (math.log10(n)/ math.log10(3)) % 1 == 0
ob1 = Solution()
print(ob1.isPowerOfThree(27))
print(ob1.isPowerOfThree(15))
print(ob1.isPowerOfThree(9)

## Input

27
15
9

## Output

true
false
true