Question

\[\log_{5}x=\sqrt(\log_{5}x)\] solve the equation

Answer 1

\[\log_{5}x=(\log_{5})^{1/2}\]\[\log_{5}x=1/2\log_{5}\]
x=1/2
not sure,you my check some pne to answer,

Answer 2

you may repost I'm not sure

Answer 3

(log_5 x)^2=log_5 x,
(log_5 x)^2-log_5 x=0,
let u = log_5 x, u^2-u=0 implies u(u-1)=0,
thus, u = 0 or 1,
log_5 x =0 or log_5 x =1,
x=5^0 or x=5^1.