Fireworks while trying to solve system of equations

[dah145]

(07-03-2021 08:25 PM)Albert Chan Wrote:  

(07-03-2021 07:20 PM)dah145 Wrote:  I was testing out some equations I found in different places, I got that particular system from here: https://www.youtube.com/watch?v=OUO1P5ZgH2s

The video assumed log() is really log10().
log(x) vs ln(x) — The curse of scientific computing

HP Prime home mode, both log and LOG meant log10.
CAS mode have different meanings (log = ln, LOG = log10, same as XCAS)

CAS> fsolve([z^3=y^2*x,sqrt(x)=log(3*z^2),5*z*x=y^x],[x,y,z]=[1,1,1])

[0.281669416538, 1.23071511956, 0.75280920719]

CAS> fsolve([z^3=y^2*x,sqrt(x)=LOG(3*z^2),5*z*x=y^x],[x,y,z]=[1,1,1])

[0.235667688071, 2.0897828558, 1.00964210847]

Duly noted, thanks.