Calculate constants for use in mapping a linear scale to a logarithmic scale

linLogMapper.py

import math

x1 = int(input('lin beg: '))
x2 = int(input('lin end: '))
y1 = int(input('log beg: '))
y2 = int(input('log end: '))

b = math.log( ( y2 / y1 ) / ( x2 - x1 ) )
a = y2 / math.exp( b * x2 )

print('y = a exp bx, where:')
print('a = ' + str(a))
print('b = ' + str(b))
print('sanity check:')
print(str(y1) + ' == ' + str(a * math.exp ( b * x1 )))
print(str(y2) + ' == ' + str(a * math.exp ( b * x2 )))