@siriusmartM to

Daily Maths Challenges • 6 months ago

[2024/05/05] Fake power tower

17

[2024/05/05] Fake power tower

@siriusmartM to

Daily Maths Challenges • 6 months ago

Solve x for x^{x*x^x} = 2
Note that the Lambert W function W(x) is the inverse of f(x) = xe^x

Chat

@siriusmartOPM
link
2•6 months ago
x^x=e^W(ln(2)) isn’t wrong, but it’s in a form that’s inconvenient to say the least.

Picking up from x*ln(x)=W(ln(2))

spoiler

spoiler

x^x is a far superior substitution, but it takes a bit to notice it

Daily Maths Challenges

[email protected]

You are not logged in. However you can subscribe from another Fediverse account, for example Lemmy or Mastodon. To do this, paste the following into the search field of your instance: [email protected]

Share your cool maths problems.

Complete a challenge:

Post your solution in comments, if it is exactly the same as OP’s solution, let us know.
Have fun.

Post a challenge:

Doesn’t have to be original, as long as it is not a duplicate.
Challenges not riddles, if the post is longer than 3 paragraphs, reconsider yourself.
Optionally include solution in comments, let it be clear this is not a homework help forums.
Tag [unsolved] if you don’t have a solution yet.
Please include images, if your question includes complex symbols, attach a render of the maths.

Feel free to contribute to a series by DMing the OP, or start your own challenge series.

6 users / day
18 users / week
18 users / month
151 users / 6 months
193 subscribers
34 Posts
147 Comments
Modlog

mods:
@siriusmart