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)

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solution

| Comment 1 of 13

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

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