# Difference between revisions of "AoPS Wiki talk:Problem of the Day/July 4, 2011"

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{{:AoPSWiki:Problem of the Day/July 4, 2011}} | {{:AoPSWiki:Problem of the Day/July 4, 2011}} | ||

==Solution== | ==Solution== | ||

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+ | <math>3^x-3 \equiv 0 \mod 16 \Rightarrow 3^x \equiv 3 \mod 16</math> | ||

+ | So <math>3^x</math> cycles through 3,9,11,1 mod 16, <math>x = 1</math> doesn't work so try <math>x = 5</math> which works and we're done | ||

{{potd_solution}} | {{potd_solution}} |

## Revision as of 01:36, 4 July 2011

## Problem

AoPSWiki:Problem of the Day/July 4, 2011

## Solution

So cycles through 3,9,11,1 mod 16, doesn't work so try which works and we're done
*This Problem of the Day needs a solution. If you have a solution for it, please help us out by adding it.*