A calculus problem by Soumava Pal
Calculus
Level
pending
Find the value of \(a\) to \(x^y=y^x=a\), so that the solutions of \(x\) and \(y\) to the equation satisfy,
\[x+y=100\pi\]
Give your answer correct to 4 decimal places or more.
by
Soumava Pal