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Mathematics 24 Online
OpenStudy (anonymous):

simplify 1n9 - 41n3

OpenStudy (hihi67):

so is the 9 and 3 after exponents?

OpenStudy (anonymous):

yea

OpenStudy (hihi67):

Okay well subtracting exponents is easy, it's just like normal.

OpenStudy (hihi67):

It would be also 1 minus 41 which is....you tell me

OpenStudy (hihi67):

And then 9-3 which is.....

OpenStudy (hihi67):

So therefore 1 minus 41 to the power of 9-3!

OpenStudy (anonymous):

No... is this your equation? \[\ln9 - 4\ln3 \]

OpenStudy (hihi67):

@gary-jenkinson do you understand?

OpenStudy (anonymous):

yea thats my equation

OpenStudy (anonymous):

One sec.

OpenStudy (hihi67):

@gary-jenkinson did you see what i wrote? do that

OpenStudy (anonymous):

yea thanks :)

OpenStudy (anonymous):

Gary, don't.

OpenStudy (hihi67):

Okay great! Glad I could help.

OpenStudy (anonymous):

Okay... First off, write 4 ln 3 as: \[\ln ^{\frac{ 3 }{ 4 }}\]

OpenStudy (hihi67):

what are you talking about? that's wrong...

OpenStudy (anonymous):

No.

OpenStudy (hihi67):

it is41 times n to the power of 3...

OpenStudy (anonymous):

These are LOGARITHMS

OpenStudy (anonymous):

yea they are

OpenStudy (hihi67):

ooh well you wrote 1 not l....

OpenStudy (hihi67):

okay, then i can help you again.

OpenStudy (anonymous):

sorry my mistake its hard to read the book looked like a 1 lol

OpenStudy (hihi67):

first of all @gary-jenkinson do you know how to do basic logarithms?

OpenStudy (hihi67):

oh its not problem.

OpenStudy (hihi67):

*no

OpenStudy (anonymous):

Okay, so once you do that, you change the form of the equation using one of the basic properties of logs. \[\ln \frac{ 9 }{ 3^{4} }\]

OpenStudy (hihi67):

yep, then thats right @AtlasOfAtlantis do you wanna continue or should i explain?

OpenStudy (anonymous):

atlas may aswell continue thanks tho

OpenStudy (hihi67):

okay, have fun! lol:D

OpenStudy (anonymous):

You know that three squared is nine, so that changes your equation to: \[\ln \frac{ 1 }{ 9 }\]

OpenStudy (anonymous):

yea is that it?

OpenStudy (anonymous):

You can leave it as that or try -ln9.

OpenStudy (anonymous):

thanks for your help

OpenStudy (anonymous):

You're welcome ^.^

OpenStudy (anonymous):

how do you work this out as im really thick lol

OpenStudy (anonymous):

Ahh, sorry. Uhm... just use the basic properties of logs. If you're confused when you look at them ln is also \[\log_{e} \].

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