This week was really easy. I'm glad we're learning logs because I'm very good at it. I did have one little problem with our last quiz though. I completely blanked when I got the quiz. I guess it was because we had just finished the best pep rally ever right before this class! One thing I couldn't think of how to do was "Changing of Bases". But now I know how to do it. The steps for this are:Take the log (base what you want of both sides), write as an exponential, move exponent to the front, solve for variable, write as a fraction or whole number if possible. If not possible leave in log form.
Ex: 1. 2^x = 10
2. log 2^x = log 10
3. xlog 2 = 1
4. Answer: x = 1/log 2
The only thing that I'm really having trouble with is "Logarithm Properties". I get confused on what to do when I have to do the problems on my own.
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Here are my notes for Log Properties
ReplyDelete• LogbMN expanded form = Log¬bM + LogbN
• Logb M/N expanded form= LogbM - LogbN
• LogbM^k expanded form = k LogbM
• LogbB^k = k (this means if the base and the exponential number are the same the answer is the exponent)
• B^ Logb^k = k
So when given a problem that says expand or condense you just apply the properties
EX: “expand” LogbMN^2
The answer would be: LogbM + 2LogbN
All I can say for remembering the properties is study them.
ReplyDeleteIf you see a log that has been simplified and resembles multiplication, it is addition
-resembling division, subtraction
With the exponent, it moves to the front
When the base and number are the same (logaA^k) the answer is k
When you have logaA^h^k....=k
I also think that Taylor has a very good explanation for this. But if you still don't understand it, you can come find me at school or something and I'll explain it more.
heyy!
ReplyDeleteIm not going to list the properties because taylor already listed them for you but im just going to tell you not to freak out because they are logarithmic properties. They are basically the same rules for the exponent properties with the exceptions of a few that are simple but you just have to remember such as....
logbM^k= klogbM ....just remember the exponent always goes in front of the log.
logbB^k=k....just remember that your exponent is your answer
Hope it helped!!! :)