Prove that the last two digits of 2" cannot be 02 and the last three digits cannot be 108. Find all n such that the sum of the digits of 2n is 5.

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.7: Factoring Pattern For X2+bx+c, C Positive
Problem 4OE
icon
Related questions
Question
Prove that the last two digits of 2n cannot be 02 and the last three digits cannot be 108.
Find all n such that the sum of the digits of 2n is 5.
Transcribed Image Text:Prove that the last two digits of 2n cannot be 02 and the last three digits cannot be 108. Find all n such that the sum of the digits of 2n is 5.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage