Belgium - Math Olympiad Question | A great approach

A great challenge. x^x=12
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[@weylguy]

I've tried hard t fina a way around the dreaded W function. For the problem given, we know that 2

[@dono42]

Why do you dislike the W function? It is just another lookup table no different than logarithms.

[@Fire_Axus]

Actually, your feelings are irrational and W(x) can be expressed as ln(tSqrt(e^x)). The function inside the logarithm is the tetrational square root, outputting the number that when raised to itself, it returns the input.

[@DanDart]

My dude, We've done this structure of question over and over. Please move on.

[@tengo257]

I enjoyed it...

[@DanDart]

@@tengo257 Yes to be clear I'm not saying it's not enjoyable or well made, it is. I'm saying it's not an original structure even for the channel (see the rest of the channel videos - this is basically doing the exact same procedure as many more of these). I feel like youtube is W-fatigued honestly

[@MandyFlame]

@@DanDartagreed. I had to check to make sure this was a new post and not one I’d already seen. Enough of Lambert-W. Let’s move on.

[@pk2712]

@@DanDart No need for W Lambert function . Use Newton's method with a calculator . You are definitely correct . Solving x^x =N a positive integer using the W function in a video is nice ; but , how many times posted on youtube can people stand . Once or twice is plenty --- move on already .

[@cacostaangulo]

Again... No need to inflate a video with basic explains about log properties or product properties when people coming here are supposed to have a minimum level in Maths.

[@CYTOTIMUS]

Indeed, you don't need to explain basic stuff to the people who know about the W function.

[@nazneenakhtar2322]

@@CYTOTIMUS You can always skip if you don't wanna watch you know

[@SaumonDuLundi]

What is the function w ?

[@patientvibes]

Lambert W function. en.m.wikipedia.org/wiki/Lambert_W_function

[@Fire_Axus]

It is a function created by people who were too close-minded to research tetration. The lambert W function can indeed be expressed in terms of the tetrational square root, exponential and logarithm.

[@Fire_Axus]

this is elementary math

[@_John_Sean_Walker]

2.600295
Easy with a spreadsheet. 😎👍

[@Fire_Axus]

which one?

[@madelineveggie3931]

@@Fire_Axus Just do the numbers from 2 to 3 and see what works.

[@pacogarrido2193]

X^-x=2 please

[@aj-uo3uh]

Yeeeeessss