SOLUTION: If x=log15 2, y= log10 3, z=log6 5; prove that xy + yz + zx + 2xyz = 1

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Question 1045915: If x=log15 2, y= log10 3, z=log6 5; prove that xy + yz + zx + 2xyz = 1
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
x+=+log%2815%2C2%29+=+log%2815%2C30%29+-+log%2815%2C15%29+=+log%2815%2C30%29+-+1.
Similarly, y+=+log%2810%2C3%29+=+log%2810%2C30%29+-+log%2810%2C10%29+=+log%2810%2C30%29+-+1, and
z+=+log%286%2C5%29+=+log%286%2C30%29+-+log%286%2C6%29+=+log%286%2C30%29+-+1.
===>
= .

Also,
2xyz+=+2%28log%2815%2C30%29+-+1%29%28+log%2810%2C30%29+-+1%29%28log%286%2C30%29+-+1%29

=

===>

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