Fireworks while trying to solve system of equations

[Albert Chan]

Quote:solve([z^3=y^2*x,sqrt(x)=log(3*z^2),5*z*x=y^x],[x,y,z])

This crash on XCas as well.

We can simplify system of equations into 1 equation.
For real solutions, equating y:

CAS> z := sqrt(exp(sqrt(x))/3)
CAS> fsolve(sqrt(z^3/x) = (5*z*x)^(1/x), x)

[0.281669416538, 11.005909666]