A Nice Olympiad Exponential Problem

[@olaf_the_destroyer583]

Cool Math Problem. Thanks a lot.

[@Geendle]

Hi friend, thank you!

[@MosesMakuei-b5z]

I'm happy to be among the first 1000 subscribers of this channel 🎉

[@Geendle]

Thank you very much @MosesMakuei-b5z! Let's make this a great channel!

[@paulortega5317]

Or let u = (10 + 3√11) and v = (10 + 3√11)
uˣ + vˣ = 398
uv = 1 and v = 1/u
uˣ + 1/uˣ = 398
u²ˣ - 398uˣ + 1 = 0
Let w = uˣ
w² - 398w + 1 = 0
w = 199 ± 60√11
w = (10 + 3√11)² or (10 + 3√11)⁻²
w = uˣ = (10 + 3√11)ˣ = (10 + 3√11)² or (10 + 3√11)⁻²
x = ±2

[@Geendle]

Very nice solution! Substitution is really faster to solve this problem. Thanks for sharing, friend!

[@jakeaustria5445]

That ±2 is magical hhahhaha

[@Geendle]

Thank you, friend!!!😉