import math
def mathtricks3():
    for i in range (3,15):
        print  "log (base 10) of 10 **",i ," = math.log(10**i,10) = " , math.log(10**i,10)

    xx = raw_input( " Press Enter when you're ready to see some round-off errors ")
    
    for i in range (3,15):
        print "BUT, ", i*1.0 , " minus  log (base 10) of 10 **",i*1.0 ,"  =  ", i*1.0 - math.log(10**i,10)

mathtricks3()