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Solve the given equation \((\log_{3} x)^{2} - 6(\log_{3} x) ...

Solve the given equation (log3x)26(log3x)+9=0

A.

27

B.

9

C.

127

D.

18

E.

81

Correct answer is A

(log3x)26(log3x)+9=0

Let log3x=a.

a26a+9=0

a23a3a+9=0

a(a3)3(a3)=0

(a3)(a3)=0

a=3(twice)

log3x=3x=33=27