When to add and cancel logarithms

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A.J.710
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I don't have a single homework question but a general one that will help me out tonight. I am taking calculus one college level and we are reviewing logarithms and I am really having trouble. I just don't understand how we are supposed to know where to add and cancel them.

It seems that at certain points in the math you just add a logarithm for it to cancel something out in a later time in the problem. This is really confusing me.

What are some good tactics to approach the problems when dealing with this type of math?

Thanks
 
on Phys.org
It's basic log identities. If you google "logarithm identities" there will be a nice wiki page and some good images. Just make sure you learn the identities and understand them.
 

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