Answer:
x = 0
Explanation:
-[(3^x - 1)(5^x - 1)] + 1 = 1
Subtract 1 form both sides
-[(3^x - 1)(5^x - 1)] = 0
Divide both sides by -1
(3^x - 1)(5^x - 1) = 0
Equate the factors to 0
3^x - 1 = 0
3^x = 1
Use ln both sides
ln(3^x) = ln(1)
xln(3) = 0
x = 0
5^x - 1 = 0
5^x = 1
Use ln both sides
ln(5^x) = ln(1)
xln(5) = 0
x = 0
The only solution is x = 0