perplexus.info :: Calculus : Solution around limits

Solution around limits (Posted on 2025-01-10)

How many solutions in real numbers does the equation

(√3-1)^x = 2(√2+1)^x + 1

have?

No Solution Yet Submitted by Danish Ahmed Khan

No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)

re: Supposition (not a formal proof)

Comment 2 of 2 |

syms x

fplot(2*(sqrt(2)+1)^x+1-(sqrt(3)-1)^x)

grid

Zooming in shows a zero value at -1.4350809709905..., and indeed is the only solution,

Posted by Charlie on 2025-01-10 13:52:09

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (8)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info