[IMG]file:///C:/DOCUME%7E1/ADMINI%7E1/LOCALS%7E1/Temp/moz-screenshot.png[/IMG]Can you help for the functions and prove at the attachment ?

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- Nov 26th 2009, 12:46 PMisiksoy7growth function and prove
[IMG]file:///C:/DOCUME%7E1/ADMINI%7E1/LOCALS%7E1/Temp/moz-screenshot.png[/IMG]Can you help for the functions and prove at the attachment ?

- Nov 26th 2009, 04:07 PMtonio
- Nov 26th 2009, 04:17 PMemakarov
The key is to show that and for some constants .

Now logrithm is not such a scary beast. Personally, I remember only three properties of logarithms.

(1) Definition: iff

(2)

(3) .

It's not difficult to deduce (2) and (3) from (1), so the main thing you need to remember is that logarithm is an inverse function to power: and .

So, how to express through ? Let . By (1), . We need to use , so let's take of both sides: . By (2), . Recalling the definition of , we get .

It's also easy to remember this last formula. Here is a mnemonic (not mathematical) explanation: you go from to ( ), then from to ( ) and the result is from to ( ). - Nov 27th 2009, 03:16 AMisiksoy7
Thanks Emakarov for your helps.