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Mathematics 25 Online
OpenStudy (mimi_x3):

@Kainui

OpenStudy (kainui):

So like try to tell me what you know and understand about logs so I can fill in the gaps and no explain stuff you already know if that's possible

OpenStudy (mimi_x3):

I know the basic properties

OpenStudy (mimi_x3):

lol

OpenStudy (mimi_x3):

hey start if I dont understand smth ill stop u and question

OpenStudy (kainui):

I guess I could say this is true and you would believe me cause you memorized it \[\Large \log_{10}10=1\] but we are really starting from \[\Large 10^1=10\] in a kind of way. Like for example, you know that if you want to solve this equation \[\Large y=b^x\] You wuld just do \[\Large \log_b y = x\] So it only makes sense by substituting y=b^x into this we have: \[\Large \log_b b^x = x\] and not only that, log rules are really just the same as exponent rules if you think about it.

OpenStudy (mimi_x3):

Ya this stuff im familiar with

OpenStudy (kainui):

Well that last line is what you wanted to know I thought haha.

OpenStudy (mimi_x3):

hahaha nooo

OpenStudy (mimi_x3):

why does \[\large x^{\log_x(y)}=y\]

OpenStudy (mimi_x3):

ohhh waitttt

OpenStudy (mimi_x3):

hahaha i get it

OpenStudy (kainui):

Haha I plugged it in backwards so like instead of \[\Large f(f^{-1}(x))=x\] I showed \[\Large f^{-1}(f(x))=x\] lol

OpenStudy (kainui):

So depending on how you plug 'em in to each other \[\Large y=b^x \\ \Large \log_b y = x\] gets you either \[\Large \log_b b^x = x \\ \Large b^{\log_bx}=x\]

OpenStudy (kainui):

Wow OS is super laggy for me.

OpenStudy (mimi_x3):

yaa yaaa now i see it

OpenStudy (mimi_x3):

Thanks :D

OpenStudy (mimi_x3):

ya u need a new comp btw

OpenStudy (kainui):

Cool yeah I am actually trying to work on something with logs right now but I can't figure it out

OpenStudy (mimi_x3):

hahahah doubt i can be off assistance

OpenStudy (mimi_x3):

Im still a tweenie weenie

OpenStudy (kainui):

Yeah it's sort of hard to describe it could take a while to even explain what I am trying to do, unless you're familiar with how fourier series coefficients are found. =P

OpenStudy (mimi_x3):

k no im not ... ya need dan for that

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