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Use the table of indices modulo 37 to find all solutions to the following congruences. (c) x12 = 11 (mod 37) (d) 7x20 = 34 (mod 37) 12x 23 (mod 37) 5x23 18 (mod 37)

Use the table of indices modulo 37 to find all solutions to the following congruences. (c) x12 = 11 (mod 37) (d) 7x20 = 34 (mod 37) 12x 23 (mod 37) 5x23 18 (mod 37)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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28.1. Use the table of indices modulo 37 to find all solutions to the following congruences. x12= 11 (mod 37) 7x20 = 34 (mod 37) (a) 12x = 23 (mod 37) (b) 5x23 = 18 (mod 37) (c) (d)
Transcribed Image Text:28.1. Use the table of indices modulo 37 to find all solutions to the following congruences. x12= 11 (mod 37) 7x20 = 34 (mod 37) (a) 12x = 23 (mod 37) (b) 5x23 = 18 (mod 37) (c) (d)
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 a I(a) 36 1 26 2 23 27 32 3 16 24 30 28 11 33 13 4 17 18 7 17 a 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 I (a) 35 25 22 31 15 29 10 12 6 34 21 14 9 5 20 8 19 18 Table of Indices Modulo 37 for the Base 2
Transcribed Image Text:1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 a I(a) 36 1 26 2 23 27 32 3 16 24 30 28 11 33 13 4 17 18 7 17 a 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 I (a) 35 25 22 31 15 29 10 12 6 34 21 14 9 5 20 8 19 18 Table of Indices Modulo 37 for the Base 2
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