SOLUTION: when a question asks you to show something algebraically, DO NOT substitute numbers for the variables and give me an example. On the other hand, when a question asks you to show s

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Question 30323: when a question asks you to show something algebraically, DO NOT substitute numbers for the variables and give me an example. On the other hand, when a question asks you to show something numerically or to provide an example, you may substitute numbers for the variables. Show all work.
Using the properties of logarithms, rewrite the following expression as a sum and difference of terms:
y (sqared)= [xz (squared)] and then this whole equation is to the second power
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[e (x+z powered)]


Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
+y%5E2+=+%28+%28xz%29%5E2%2F%28e%5E%28x%2Bz%29+%29+%29+. I hope this is what you meant?

Taking logs on both sides, and using natural logs, since we have the number "e"...

+ln%28y%5E2%29+=+ln%28+%28xz%29%5E2%2F%28e%5E%28x%2Bz%29+%29+%29+
+2ln%28y%29+=+ln%28+%28xz%29%5E2%2F%28e%5E%28x%2Bz%29+%29+%29+
+2ln%28y%29+=+ln%28xz%29%5E2+-+ln%28e%5E%28x%2Bz%29%29+
+2ln%28y%29+=+2ln%28xz%29+-+%28x%2Bz%29ln%28e%29+
+2ln%28y%29+=+2ln%28xz%29+-+%28x%2Bz%29+

So, this is as far as you need to go...the question asks for it in this form. We could go further and collect terms together, however.

jon.