AMC 10 Step by Step
Log inSign up
Printable

2005 AMC 10A Problem 13

Include the solutionBack to the problem
2005 AMC 10A Problem 13AMC 10 Step by Step
Name:                             Date: September 13, 2026
Exponents, Logarithms & Radicals · difficulty 2 of 5 · about 3 min · position P11-15

How many positive integers nn satisfy the following condition:

(130n)50>n100>2200 ?\left(130n\right)^{50} > n^{100} > 2^{200} \ \text{?}

  1. A)

    00

  2. B)

    77

  3. C)

    1212

  4. D)

    6565

  5. E)

    125125

Working