SOLUTION: Solve the equation. log(x^4)=(logx)^2 x=

Question 544673: Solve the equation.
log(x^4)=(logx)^2
x=
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
log(x^4)=(logx)^2
4log(x)=(logx)^2
(logx)^2-4log(x)=0
log(x)(log(x)-4)=0
..
log(x)=0
exponential form: base(10) raised to log of number(0)=number(x)
x=10^0=1
or
log(x)-4=0
log(x)=4
x=10^4
ans:
x=1 or 10^4
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