/sci/ I beg of you for help. I spent my whole...

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/sci/ I beg of you for help. I spent my whole evening trying to figure this out...maybe I'm a square head. Honestly, I know it's somtehing with logarithms...but I have no idea how to solve it. Really I used a lot of papers...can anyone please help me?

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>>7790657

X=0

Try to study the variations of 4^x + 2^-x and of 2-x^2 to show this solution is unique

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>>7790669 misread your 2 as a 4, but he's right.

x=0 is the only solution. To see this, try graphing both the left side (which is concave up with a minimum at x=0) and the right side (which is concave down with a maximum at x=0). So the two graphs can intersect at only the point (0,2), so the only solution is x=0.

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>>7790684

>solve by graphing

u a shit senpai desu

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>>7790765

Shit I forgot that it's (2 - x^2) on the right hand side. Oh well you get the idea.

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>>7790767

I wouldn't graph it but it helps give OP, at his level, a nice way to see why 0 is the only solution.

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>>7790800

>Implying that if he were to graph it infinitely he wouldn't find infinitely many alternative solutions

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