Question 187167
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