An algebra problem by Razing Thunder

Algebra Level 3

$\large x^{-x^x} = 2^{\sqrt2}$

Solve for $x$ .

1 1.25 4 1.75 0.75 1.5 0.5 0.25

2 solutions

Chew-Seong Cheong
Aug 28, 2020

$\large \begin{aligned} x^{-x^x} & = 2^{\sqrt 2} \\ \frac 1{x^{x^x}} & = 4^{\frac 12 \times \sqrt 2} \\ \left(\frac 1x\right)^{x^x} & = 4^{\frac 1{\sqrt 2}} = 4^{\frac 1{4^{1/4}}} = 4^{\left(\frac 14\right)^\frac 14} \\ \implies x & = \frac 14 = \boxed{0.25} \end{aligned}$

Razing Thunder
Aug 28, 2020

As always Thanks for watching

Hi Daksh, just a side question. Did you use theorem of Beethoven to learn Manim?

Mahdi Raza - 9 months, 2 weeks ago

Yes, i watched theorem of Beethoven's playlist to learn manim , it is much easier than you think to learn manim (you can learn it in 3 hours) also the manim discord server helps me a lot when i am stuck

Razing Thunder - 9 months, 2 weeks ago

Great to see your channel growing fast. I don't know why I haven't uploaded one in a lot of time. I'll do it soon. Did you know a lot of python before that? I currently know only basics of object-oriented programming. I've watched a few videos of that plus a few of Manim cast by flammable maths and vcubingx

Mahdi Raza - 9 months, 2 weeks ago

@Mahdi Raza – no , I know only a little bit of python but manim does not requires that much python as you know the basics of object-oriented-programming it would be easier for you . btw did you installed manim

Razing Thunder - 9 months, 2 weeks ago

@Razing Thunder – Yes, I've played around a couple of times. It does the part of transforming text very well, unlike keynote. But doing other stuff feels a bit daunting.

Mahdi Raza - 9 months, 2 weeks ago

An algebra problem by Razing Thunder

2 solutions

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