x to 1/2 power plus x to 1/4 power = 20

x^0.5+x^0.25=20

(x^0.5)+(x^0.5)^0.5=20

let x^0.5=y

y+y^0.5=20

log y +0.5 log y=log20

1.5logy=log 20

log y=1.30/1.5=0.8667

y=7.36

x^0.5=7.36

x=log 7.36/0.5=1.733

Oops, is this a logrithm?? I have forgotten that. And, I do not know where to find it.

Can it not be solved just algebraically??? Without using logarithms??

NO YOU CANT SOLVE WITHOUT LOGS

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