perplexus.info :: Just Math : Inverse Crossed Linear Power

Inverse Crossed Linear Power (Posted on 2023-10-14)

Determine all possible real x that satisfy this equation:

(1/x)^x = 4^x+1/16

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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

solution

| Comment 1 of 11

On the graph they cross at x=0.125 and 0.0625, or 1/8 and 5/80.

>> x=1/8

x =

0.125

>> (1/x)^x,4^(x+1/16)

ans =

1.29683955465101

ans =

1.29683955465101

>> x=5/80

x =

0.0625

>> (1/x)^x,4^(x+1/16)

ans =

1.18920711500272

ans =

1.18920711500272

Posted by Charlie on 2023-10-14 10:41:40

Please log in:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (9)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info