Correct, np.log(x) is the Natural Log (base e log) of x.

For other bases, remember this law of logs: log-b(x) = log-k(x) / log-k(b) where log-b is the log in some arbitrary base b, and log-k is the log in base k, e.g.

here k = e

l = np.log(x) / np.log(100)

and l is the log-base-100 of x

Here is the correct implementation using numpy (np.log() is the natural logarithm)

import numpy as np
p = 100
r = 0.06 / 12
FV = 4000

n = np.log(1 + FV * r/ p) / np.log(1 + r)

print ("Number of periods = " + str(n))

Output:

Number of periods = 36.55539635919235