SOLUTION: please solve my problem: log[3]x+log[9]x^(2)+log[27]x^(3)=3

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Question 179300: please solve my problem: log[3]x+log[9]x^(2)+log[27]x^(3)=3
Answer by MissionPossible(18) About Me  (Show Source):
You can put this solution on YOUR website!
log[3]x+log[9]x^(2)+log[27]x^(3)=3
log[3]x+log[3^2]x^(2)+log[3^3]x^(3)=3
log[3]x+(2/2)log[3]x+(3/3)log[3]x = 3
log[3]x + log[3]x + log[3]x = 3
3 log[3]x = 3
log[3]x = 1
x = 3^1
x = 3 Ans.