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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So you see, our hands are tied until we hear more from you.