B Is there a formula to get x in Excel without using solver: 0.5^x+0.2^x+0.25^x=1

  • B
  • Thread starter Thread starter The Investor
  • Start date Start date
  • Tags Tags
    Excel Formula
AI Thread Summary
The equation 0.5^x + 0.2^x + 0.25^x = 1 lacks a neat formula for solving for x. There is no analytic solution, making it a non-standard problem. Iterative approaches are necessary, which can be implemented using Excel's solver, macros, or methods like Newton's method within Excel cells. Ultimately, Excel does not provide a straightforward formula for this equation. Therefore, alternative computational methods are required to find the solution.
The Investor
Messages
34
Reaction score
0
TL;DR Summary
Hi! I wanted to see if there is a formula to get x in excel without using solver: 0.5^x+0.2^x+0.25^x=1. Thanks!
0.5^x+0.2^x+0.25^x=1.
 
Mathematics news on Phys.org
I don't think there is a neat formula for x.
https://www.wolframalpha.com/input/?i=0.5^x+0.2^x+0.25^x=1

1602626567806.png
 
  • Like
Likes morrobay and berkeman
There is no analytic solution to it and it's not a standard problem, so you need some sort of iterative approach. You can do that with the solver, you can write a macro to do it, you can even do it in some Excel cells (e.g. using the Newton method), but Excel won't have a nice formula for it.
 
  • Like
Likes berkeman
OK, that's what I thought. Cheers guys.
 
Suppose ,instead of the usual x,y coordinate system with an I basis vector along the x -axis and a corresponding j basis vector along the y-axis we instead have a different pair of basis vectors ,call them e and f along their respective axes. I have seen that this is an important subject in maths My question is what physical applications does such a model apply to? I am asking here because I have devoted quite a lot of time in the past to understanding convectors and the dual...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...

Similar threads

Replies
5
Views
2K
Replies
1
Views
2K
Replies
19
Views
1K
Replies
16
Views
4K
Replies
15
Views
3K
Replies
1
Views
634
Replies
2
Views
1K
Back
Top