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Mathematics 18 Online
rebeccaxhawaii (rebeccaxhawaii):

NEED HELP

OpenStudy (anonymous):

on what

OpenStudy (shadowlegendx):

Here to help !

rebeccaxhawaii (rebeccaxhawaii):

OpenStudy (anonymous):

Using Identities you get\[\log_{2} \frac{ k^5 }{ m^8 }+\log_{2} n^{10}\]

OpenStudy (anonymous):

Then using the addition identity you can get \[\log_{2} \frac{ k^5n^{10} }{ m^8 }\]

OpenStudy (anonymous):

And I'm pretty sure that's as simplified as you can make it

rebeccaxhawaii (rebeccaxhawaii):

damn brill you got some brains you'll make it to 99 ss in no time thanks though do you think you can help me another one ?

OpenStudy (anonymous):

Sure go ahead

rebeccaxhawaii (rebeccaxhawaii):

@Brill wait can i review this one with you again

OpenStudy (anonymous):

Sure go ahead where do you need clarification?

rebeccaxhawaii (rebeccaxhawaii):

so i get the 5 and 10 go in the corners but why does m^8 go below

OpenStudy (anonymous):

Because of this identity log(a/b) = log(a) - log(b)

OpenStudy (anonymous):

It doesn't matter what base the log is, this always applies So in this case n^5 is a and m^8 is b

rebeccaxhawaii (rebeccaxhawaii):

you mean n^10 right ?

OpenStudy (anonymous):

Wait no sorry You HAVE to do the FIRST two terms FIRST because that is order of operation So that makes it k^5/m^8

OpenStudy (anonymous):

The n^10 later gets added on due to this property log(ab) = log(a) + log(b)

OpenStudy (anonymous):

Where a is k^5/m^8 and b is n^10

OpenStudy (anonymous):

And this gets you log2(k^5n^10/m^8

OpenStudy (anonymous):

Sorry my bad if I confused you

rebeccaxhawaii (rebeccaxhawaii):

lol no.. thank you this log stuff confuses me in general

OpenStudy (anonymous):

So think you can do the other one now? Or do you need me to give you a jump start to simplify that one?

rebeccaxhawaii (rebeccaxhawaii):

a jump start would be great

rebeccaxhawaii (rebeccaxhawaii):

wait nvm i got it thank you

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