Solve for x:

Question

log (x^4)=(log x)^2

Note, there are 2 solutions, A and B, where A<B.
A=
B=

Answer 1

let z = log x
4 z = z^2
z = 4 or z = 0
log x = 4 or log x = 0
10^log x = x = 10^4 = 10,000
or
10^log x = x = 10^0 = 1