Mathematics
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OpenStudy (anonymous):
simplify 1n9 - 41n3
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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.....
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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.
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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:
\[\ln ^{\frac{ 3 }{ 4 }}\]
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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
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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.
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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
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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 ^.^
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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 \[\log_{e} \].