Question 465693: solve the equation.
log(base 3)x^2=(log(base3)x)^2
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! solve the equation.
log(base 3)x^2=(log(base3)x)^2
..
log3(x^2)=(log3(x))^2
2log3(x)=(log3(x))^2
(log3(x))^2-2log3(x)=0
log3(x)(log3(x)-2)=0
log3(x)=0 (reject, log3(x)>0)
..
log3(x)-2=0
log3(x)=2
x=9
Check:
log3(9^2)=log3(81)=4
(log(base3)x)^2=(log3(9))^2=(2)^2=4
left side=right side
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