Can this equation be solved using integer numbers?

oszust001 · Dec 16, 2010

How to solve that eqation?
3^x=4y+5

SEngstrom · Dec 16, 2010

Express one variable in terms of the other (see which makes most sense). What are the conditions for having integer solutions?

HallsofIvy · Dec 16, 2010

That is the same as saying that [itex]3^x= 1[/itex] (mod 4). Check out "Fermat's Little Theorem".

oszust001 · Dec 19, 2010

Ok, but how can I show that this equation can be saying like that you wrote? If I place for 3^x=1(mod 4) to top equation and from Fermat's little theorem I have x=3 than I have equation with one variable? That you thought about?

Can this equation be solved using integer numbers?

"Critical" Triangle Problem

The optimal way of dividing the bet three ways

Hedging on a weather prediction

Insights Revisiting the Velocity-Time Function

Insights Remote Operated Gate Control System

Insights AI Enriched Problem Solving

Insights Thinking Outside The Box Versus Knowing What’s In The Box

Insights Why Entangled Photon-Polarization Qubits Violate Bell’s Inequality

Insights Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect

Can this equation be solved using integer numbers?

Similar threads