How do you simplify logarithms? I want to simplify log 8 = 4, what is the procedure? The answer is 2/3.

Question

hartnn · Answer

can u please verify the question?1st u have not specified the base of logarithm,2nd there is nothing to simplify in log 8=4,unless u have base....

anonymous · Answer

Oops I mistyped my problem.. sorry
Here it is :

anonymous · Answer

And I've never been taught logs before so an
 easy explanation would be fantastic, thanks :)

hartnn · Answer

http://openstudy.com/study?login#/updates/503a002fe4b0edee4f0d88db see the 12th property....if still in doubts,then ask again...

hartnn · Answer

u asked the question at right time,@TheViper just gave a tutorial on logarithms...

anonymous · Answer

use the property.
$$\frac{ \log a }{ \log b } = \log(a - b)$$

anonymous · Answer

@Pratu043: 
Would that lead to the answer being 2/3 ?
Sorry totally new at logarithms..

anonymous · Answer

so am i ....... TheViper is giving a tutorial, you can ask him.

mathslover · Answer

http://openstudy.com/study#/updates/503a002fe4b0edee4f0d88db

anonymous · Answer

Thanks, will do :)

anonymous · Answer

Ahhhhh I still don't understand! What formula am I supposed to use?

hartnn · Answer

let me tell u how it leads to 2/3
i will be using his 6th property:
$$\Large{6.)\log_ab^n=n\space \log_ab}$$
and the fact that
$$4=2^2  and8=2^3$$
so
$$\frac{\log 4}{\log 8}=\frac{\log 2^2}{\log 2^3}=\frac{2}{3}\frac{\log 2}{\log 2}=\frac{2}{3}$$
got this??

anonymous · Answer

I understand the last bits just not the formula haha
Thank you, this would have taken me eternity! :)