SOLUTION: log(x^3) = (log x)^2

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Question 187167: log(x^3) = (log x)^2
Answer by user_dude2008(1862) About Me  (Show Source):
You can put this solution on YOUR website!
log(x) assumed base 10


log(x^3) = (log x)^2


3*log(x) = (log x)^2

Let z=log(x)


3*z = z^2

0 = z^2-3z

0 = z(z-3)

z = 0 or z = 3

log(x) = 0 or log(x) = 3

x=1 or x=1000

Ans: x=1 or x=1000