For this blog I will review logs. There are many rules with logs and they are all really simple. The first thing i will note is how you take the log notation and rewrite in exponential. If you have an equation such as log10, you rewrite like so:
Your base is understood to be 10 unless stated otherwise**
10^x=10
Now some of the simple rules used for condensing and expanding logs are like so:
When you are adding logs your numbers are multiplied if both have the same base.
Ex. log5+log7
You can condense the equation by multiplying and getting log35 at which point you simplify.
When subtracting logs you do just like addition except you divide instead of multiplying.
Ex.log35-log7
You condense by dividing and get log5 and then you simplify.
Another thing to note about logs is that there are also natural logs, which are notated as ln. Natural logs work the same way as normal logs except for the fact that the base is e instead of 10.
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