MathCastle
Groups and FieldsMediumGroups and the Group Axioms

Groups and the Group Axioms · Medium problem

A code scrambles a number xx by E(x)=5(x+s) mod 17E(x)=5(x+s)\bmod17 for a secret shift s∈{0,…,16}s\in\{0,\ldots,16\}. If E(3)=4E(3)=4, find ss.