SOLUTION: please show working for express as a single log 2ln2x - 2ln2 + 1n(1/x)

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Question 678707: please show working for
express as a single log
2ln2x - 2ln2 + 1n(1/x)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

2%2Aln%282x%29+-+2%2Aln%282%29+%2B+ln%281%2Fx%29

ln%28%282x%29%5E2%29+-+ln%282%5E2%29+%2B+ln%281%2Fx%29

ln%284x%5E2%29+-+ln%284%29+%2B+ln%281%2Fx%29

ln%28%284x%5E2%29%2F4%29+%2B+ln%281%2Fx%29

ln%282x%5E2%29+%2B+ln%281%2Fx%29

ln%28%282x%5E2%29%2A%281%2Fx%29%29

ln%282x%29

So the answer is ln%282x%29