如何计算一个数字是否是另一个数字的幂？

Question

如何让is_power_of函数返回数字是否是给定基数的幂？假设基数为正数。

def is_power_of(number, base):
  # Base case: when number is smaller than base.
  if number < base:
    # If number is equal to 1, it's a power (base**0).
    return __

  # Recursive case: keep dividing number by base.
  return is_power_of(__, ___)

print(is_power_of(8,2)) # Should be True
print(is_power_of(64,4)) # Should be True
print(is_power_of(70,10)) # Should be False

Answer 1

def is_power_of(number, base):
  # Base case: when number is smaller than base.
  if number < base:
    # If number is equal to 1, it's a power (base**0).
    return number == 1
  result = number//base
  # Recursive case: keep dividing number by base.
  return is_power_of(result, base)