Python code to solve x**x**x = 10

exponents.py

# Written to calculate value of x such that x**x**x = 10
# Corresponding Quora answer: https://www.quora.com/If-x-x-x-10-what-is-x/answer/DurgaSwaroop-Perla

factor = 100000000

def direction(a, b):
    if abs(a - b) < (a / factor):
        return 0
    elif a - b < 0:
        return -1
    elif a - b > 0:
        return 1

x = 1
target = 10
while True:
    # print(x)
    judgement = direction(x ** x ** x, target)
    if judgement == 0:
        print(x, x ** x ** x)
        break
    elif judgement == -1:
        x = x + x / factor
    else:
        x = x - x / factor
       
# Final output: 1.9235840382154854 10.000000099999989