Question

(Log3 x)² - 2log 3 x=3
Sendo que o 3 que acompanha o log é base. 

Answer 1

log^2(3x)-2log(3x)-3=0
(log(3x)-3).(log(3x)+1)=0
log(3x)-3=0
log(3x)+1=0
log(3x)=3,-1

Answer 2

 Oi Roberta,
consideremos log_3 x = k, então:

$(\log_3x)^2-2\cdot\log_3x=3\\k^2-2k-3=0\\(k-3)(k+1)=0\\\boxed{k=3}\\\boxed{k=-1}$

- quando k = - 1:

$\log_3x=-1\\3^{-1}=k\\\boxed{\boxed{k=\frac{1}{3}}}$


- quando k = 3:

$\log_3x=3\\3^{3}=k\\\boxed{\boxed{k=27}}$