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October 30, 2025, 06:08:22 am
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Author Topic: Logarithms  (Read 2343 times)  Share 

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elaine

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Logarithms
« on: March 31, 2008, 09:42:52 pm »
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I'm having trouble with some logarithm questions- could someone please help?
Thanks :)

1. If = , find the value of k.

Solve for x:

a)    =   (the e is that special e if that makes sense)

b)

c) -


3. Given that , find in terms of p

and yahooo i worked out how to latex it- woo it's so prettty
« Last Edit: April 03, 2008, 07:09:02 pm by elaine98 »
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Glockmeister

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Re: Logarithms
« Reply #1 on: March 31, 2008, 10:11:10 pm »
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a)
   
   
   

b) Remember:

Therefore

             

Then you'll have to turn that into a partial fraction. (Will find a way to get a clearer version

         
          _____________________
 -2x+3 | 5x
            5x + 15/2
           ___________________
                   -12/2

Therefore we get

Then if you muddle around with that, you should get the answer

Working on others atm
« Last Edit: March 31, 2008, 10:21:58 pm by Glockmeister »
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Re: Logarithms
« Reply #2 on: March 31, 2008, 10:12:54 pm »
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Um... what's up with question 3? Aren't you given an equation or anything? :p
AHA! It's essential maths! Book to the rescue:



of both sides:





!
« Last Edit: March 31, 2008, 10:15:08 pm by DivideBy0 »
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dcc

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Re: Logarithms
« Reply #3 on: March 31, 2008, 10:19:11 pm »
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« Last Edit: March 31, 2008, 10:23:31 pm by dcc »
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Glockmeister

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Re: Logarithms
« Reply #4 on: March 31, 2008, 10:31:58 pm »
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And I would think 1 is a calculator-based question.
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Collin Li

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Re: Logarithms
« Reply #5 on: March 31, 2008, 10:34:39 pm »
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The exact value of is if you just use the log law that converts indicial form to logarithmic form.

You can use a change of base to make the work well with your calculator.
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elaine

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Re: Logarithms
« Reply #6 on: April 03, 2008, 06:58:03 pm »
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Thank you so much guys :)
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elaine

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Re: Logarithms
« Reply #7 on: April 03, 2008, 06:59:24 pm »
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Quote from: DivideBy0 on March 31, 2008, 10:12:54 pm
Um... what's up with question 3? Aren't you given an equation or anything? :p
AHA! It's essential maths! Book to the rescue:



of both sides:





!


omg so sorry about not including the equation!
thanks mate

Quote
Quote from: elaine98 on March 31, 2008, 09:42:52 PM
Solve for x:
c)  -












thanks, i get the method, but how did the turn into 9a?
« Last Edit: April 03, 2008, 07:08:15 pm by elaine98 »
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Glockmeister

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Re: Logarithms
« Reply #8 on: April 03, 2008, 07:15:20 pm »
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The symbols do make it confusing, but have a look at the examples





So basically what has happened is this



The comes from the fact we have defined

Thus

Be aware of this technique, as it does rear its ugly head quite a few times throughout the course.
« Last Edit: April 03, 2008, 07:18:33 pm by Glockmeister »
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"this post is more confusing than actual chemistry.... =S" - Mao

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<@Ahmad0> sounds like Neobeo

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elaine

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Re: Logarithms
« Reply #9 on: April 03, 2008, 07:17:44 pm »
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aha! i've got it now   :)  thanks
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