When to add and cancel logarithms

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Understanding when to add and cancel logarithms relies on mastering basic logarithmic identities. Key tactics include familiarizing oneself with properties such as the product, quotient, and power rules of logarithms. Applying these identities can simplify complex expressions and clarify when to add or cancel logs. Practicing various problems will help reinforce these concepts and improve overall comprehension. Mastery of logarithmic identities is essential for success in calculus and related math courses.
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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
 
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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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