X^3 + 3^x = 17 using logarithm method how do i solve to get the answer 2

Look at this pattern ; 1,4,9, number 10000 belongs in this pattern . what’s the place of this number?

Need same math paper but the back now i hope your able to read it cleary i need with hw

Answer asap and if you do you will get brainliest. catherine buys a gallon of ice cream from the store. after taking it home, she eats a fifth of a gallon of ice cream. her sister eats some of the ice cream as well. if two-thirds of the original amount of ice cream is left, then what fraction of a gallon of ice cream did her sister eat?