SOLUTION: 2log(x) - log(x^2) + log(2/x) + log(x) I tried to simplify as far as I could and came to: log2 (x) + log(x) I just want to know if this is the correct answer? If so, can

Algebra ->  Algebra  -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 2log(x) - log(x^2) + log(2/x) + log(x) I tried to simplify as far as I could and came to: log2 (x) + log(x) I just want to know if this is the correct answer? If so, can      Log On

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Question 155526: 2log(x) - log(x^2) + log(2/x) + log(x)
I tried to simplify as far as I could and came to:
log2 (x) + log(x)
I just want to know if this is the correct answer? If so, can it be simplified anymore?
Answer by sim9739(5) About Me  (Show Source):
You can put this solution on YOUR website!
2log(x) - log(x^2) + log(2/x) + log(x)
= log(x^2) - log(x^2) + log(2/x) + log(x)
= log(x^2/x^2) + log(2/x * x)
= log 1 + log 2
= log 2