Equations with Powers: Solving for n and m

[hrach87]

Homework Statement

It is given that $(3+5\sqrt{2})^n=(5+3\sqrt{2})^m$, wgere $n, m$ are natural numbers.

Homework Equations

Show that $(3-5\sqrt{2})^n=(5-3\sqrt{2})^m$

 

[SammyS]

Homework Statement

It is given that $(3+5\sqrt{2})^n=(5+3\sqrt{2})^m$, where $n, m$ are natural numbers.

Homework Equations

Show that $(3-5\sqrt{2})^n=(5-3\sqrt{2})^m$

What have you tried?

Where are you stuck?

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