SOLUTION: Log rules question ln((a^2)/(b^2)(c^1/2)) if I were to use log rules on this what would happen to the denominator? would it be added because it's a product in the denominator?

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Question 1006907: Log rules question
ln((a^2)/(b^2)(c^1/2)) if I were to use log rules on this what would happen to the denominator? would it be added because it's a product in the denominator?
I would think it would be:
2ln(a) - 2ln(b) +(1/2)c
But online ive seen it as:
2ln(a) - 2ln(b) - (1/2)c
Why is it minus for the denominator I thought it was any products become addition?
Thank you
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
The online answer you saw indicates some unclearness in your given expression. You may really have ln%28%28a%5E2%29%2F%28%28b%5E2%29%28c%5E%281%2F2%29%29%29%29.

Breaking that into separate terms using log rules
(rendered display might not look complete...)

ln%28a%5E2%29-ln%28%28b%5E2%29%28c%5E%281%2F2%29%29%29

2%2Aln%28a%29-ln%28b%5E2%29-ln%28c%5E%281%2F2%29%29

2%2Aln%28a%29-2%2Aln%28b%29-%281%2F2%29ln%28c%29