(2) (a) Prove that 2 is not a primitive root modulo 17. (b) Prove that 3 is a primitive root modulo 17. (c) Compute the discrete logarithm of 11 modulo 17 with respect to prim- itive root 3, that is, compute log3 11 modulo 17.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 27E
icon
Related questions
Question
Prove that 2 is not a primitive root modulo 17.
(b) Prove that 3 is a primitive root modulo 17.
(c) Compute the discrete logarithm of 11 modulo 17 with respect to prim-
itive root 3, that is, compute log3 11 modulo 17.
Transcribed Image Text:Prove that 2 is not a primitive root modulo 17. (b) Prove that 3 is a primitive root modulo 17. (c) Compute the discrete logarithm of 11 modulo 17 with respect to prim- itive root 3, that is, compute log3 11 modulo 17.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning