Help me find what's wrong with this calculator progaram

Question

import math
Operator = input("select the operator(+,-,×,/,^,log):")

if Operator== "+" or "-" or "×" or "/":
a=float(input("Enter first number:"))
b=float(input("Enter second number:"))
if Operator=="+":
print(a,"+",b,"=",a+b)
elif Operator == "-":
print(a,"-",b,"=",a-b)
elif Operator == "×":
print(a,"×",b,"=",a*b)
elif Operator == "/":
print(a,"/",b,"=",a/b)
elif Operator == "^":
c=float(input("Enter the number:"))
d=float(input("Select the power:"))
print(c,"^",d,"=",math.pow(c, d))
elif Operator == "log":
e=float(input("Enter the number:"))
f=float(input("Select logarithmic base:"))
print("Log","(",e,")","=",math.log(e,f))
else:
print("Invalid input ")

It works for first four operators but fails for log and ^

Answer 1

Yes I have tried it and it works.But what I want is ,if I select operator log then inputs should be c=input("enter the number:")
d=input("select logarithmic base:")
I don't want to give input to a and b