An Interesting Exponential Equation

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[michaelanderson]

Nice work! But you should use both solutions of the quadratic (both are positive). One gives x = 2, the other gives x = -2.

[rainerzufall]

9:36 "No way!" - That's a little weak! Why??? 19 - 6 sqrt(10) is still positive! You even know that it is 1 / (19 + 6 sqrt(10)).
Only because the other value (don't discard it!) is associated with (sqrt(10) - 3)^x which is lower. But "No way!"??? No way!

[Quest]

Ksy is ...√10+3= 1/√10-3 so 2 answer is for sure . +-2 is obvious.