Math Gold Medalist

Lor

2018 AMC 8 

Problem 25

How many perfect cubes lie between $2^8+1$ and $2^{18}+1$, inclusive?

$\textbf{(A) }4\qquad\textbf{(B) }9\qquad\textbf{(C) }10\qquad\textbf{(D) }57\qquad \textbf{(E) }58$

nth root

Translating Word Problems Into Inequalities

2^8+1<= k^3 <= 2^18+1

257<= k^3 <= 2^18+1

7<=k<=2^6

2018 AMC 8 Problem 20

   Solution