log-uniform distribution

def log_uniform(low=0, high=1, size=None):
    return np.exp(np.random.uniform(np.log(low), np.log(high), size))
 
 
xs = np.log(log_uniform(0.04, 0.0001, 10000))
import matplotlib.pyplot as plt
plt.hist(xs, bins=100); plt.show()