#logs in math
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Horizontal Translation of Logarithmic Functions
-- Formulae: -> g(x) = logb (x + c) -> g(x) = logb (x - c)
-- g(x) = logb (x + c) shifts the graph of f(x) = logb (x) to the left c units and moves the vertical asymptote to x = -c
-- g(x) = logb (x - c) shifts the graph of f(x) = logb (x) to the right c units and moves the vertical asymptote to x = c
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#studyblr#notes#math#maths#mathblr#math notes#maths notes#mathematics#algebra#logarithms#logarithmic functions#functions#functions in math#mathematical functions#pre-calc#pre-calculus#precalc#precalculus#algebra formulas#precalc formulas#precalculus formulas#formulas#formulae#logarithms in math#logs in math#math logarithms#asymptotes#graphing#graphs#graphing in math
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wtf is discrete math this is silly. free the math. let the math be scandalous
#hi mathblr am i doing this right#mathblr#im having fun watching videos explaining to me how to do log odds while also reminding me how to add and subtract fractions bc its true#i need help with both#im having fun though#i actually dont know what discrete math is i just hear it is hard
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monday 13/05/24
math! truly what does IL mean in german math???
♫ coast2coast - dominic fike ♫
#studyblr#studyspo#study aesthetic#stem#studying#women in stem#aesthetic studying#study motivation#aesthetic#studystudystudy#math#math aesthetic#mathblr#stem aesthetic#dark academia aesthetic#soft academia#academia#romantic academia#chaotic academia#chaotic math academia#chaotic math#chaotic academic aesthetic#logarithms#so many logs#no peace from logs#aesthetic notes#studying aesthetic#aesthetic revision
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wanted to try a little experiment of including the original source of the doodle even after the render :)
#when the doodles pay better attention in class than you do#the math is mathing#the logs are logging#are they even learning logs at jujutsu tech????#are there normal teachers there???#please tell me they're getting an actual education#jujutsu kaisen#jjk fanart#jjk#yuji itadori#megumi fushiguro#nobara kugisaki#itafushi#they are all besties i love them#gojo does NOT remember anything from algebra 2#he would not be teaching anything acedemically worthwhile
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I just figured out a new (or rather new-to-me) property of logarithms. If you are multiplying logs together, you can swap the arguments and bases around and it will still have the same product. Here's the proof using the change of base formula:
Then, because multiplication is communicative, you can flip the order and look at this as the bases or the arguments being switched. Also if you have many logs being multiplied, you can pair up the arguments and bases in whatever way you want, which I think is pretty neat.
I wasn't sure if this still holds true once you start dealing with complex numbers because I don't have much experience in that area. But thanks to a friend giving me a crash course on complex logarithms, it appears that it does which is great.
#this probably isn't really that useful since it seems very rare to work with logs of multiple bases at the same time#but I still found it pretty cool.#mathblr#math#mathematics#logarithms#my ramblings
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Literally just want to write some headcanons on aviators' tools for the Temeraire universe but god it involves so much math I wanna cry
#I was never good at math my average math grade was 3 ffs#cries#temeraire#anyway if i manage to figure this out get ready for rambles about altimeters chip logs windsocks and black boxes
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I love tumblr because I can literally go. hey I wonder is anyone's thinking about that one weird early 2000s educational kids show. and then look it up on tumblr and find out that not only do people remember and think about it in 2023 but that they make fanart and slash fanfics and I love it
#yes this post is about#crashbox#I was obsessed with it as a kid#despite my mom thinking it was too creepy and gross for a girl#op🦐#and now I get to log into tumblr and see people shipping the math robot with the dj robot#and reblog art about the news lady who I spent most of my childhood imitating her accent
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WAIT. NEW JAMV???
#timothy's txts.#tw caps#the exact thing i needed to see after logging onto here after getting my ass kicked by science math
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The fucked up part in not playing Wizard101 in a long time is that you gotta wait for 20 entire ass years for the program to boot up on your computer
#my main is still in mirage and i only logged in since then to change my wizard name so. that should give u an estimate#one time my math teacher took out a t shirt he had in a school closet and when he flared it out dust and mouse shit fell off in a cloud#thats what i feel like loading up wizard after all this time#i just wanted to take a sc of holly like damn ive been sitting here for like almost 10 minutes#and the bar isnt even a fraction of the way there 💀💀💀💀💀💀#ill post a picture of my oc in 15 years guys stay tuned :) /j#wizard101#w101#wiz101#text posts
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cat needs to go to the vet again. I am on my hands and knees begging for a break pleasepleasepleasepleasepleaseplease
#he's been off his food since friday#ive tried him w different brands of wet foods#different foods like tuna and ham etc#he eats a few bites and then stops#he is so hungry he's being so annoying bc he wants food but then wont eat it#i think his teeth are hurting#he has FIV and that can come along w tooth decay which he like definitely has bc he has barely any teeth left#he's been on a soft food diet for a while now which was working really well until Friday#i think his teeth have gotten. worse. which is not good for my boy and also not good for my bank balance#like how do i afford cat dentistry as someone who cant work. the math isnt mathing#he's getting so many cuddles and cat yogurts rn tho i feel so bad for him#there's also the question of if his teeth need pulling is he even strong enough to go under anesthesia#like i said. FIV + he is a senior kitty now#he's my baby boy tho#im so fucking stressed this cat better rally#dogbunni diary log
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Log #5
After returning early from my year long study abroad, I have sensed a serious disturbance. Not only has the puppet master returned, but I hear from Djinna that the oceans have taken on something new…. My concern only grows. Is anyone looking into all of this?
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kids today will never know the highs and lows of being a directioner
#me logging onto tumblr on my school laptop in maths class bc shit was always happening#like what even is the equivalent band these days (in the western world)
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Eigens your vectors
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Well this has been a bit of a mess. It took days to cut the mat and midway through I found out I can probably not afford to frame it like ever. But I’m going to ask a few frame shops and hardware stores about supplies. And I thought the very good matboard would have enough structural integrity so I could move it around and figure out its placement but it is flimsy as fuck. And I’ve exhausted myself. Anyway I love this print: Prelude by Marvin Cone.
#measure 18000 times#do math and get a different answer every time#cut a couple times#as the saying goes#jennhoney personal log#how flimsy is fuck#i forget#emergency cloud infusion
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Obi-Wan identifies as a bimbo and Cody identifies as a video gay-mer I don’t make the rules it’s just the truth.
#star wars#obi wan kenobi#clone wars#commander cody#codywan#Cody has logged over 600 hours on animal crossing#Obi wan wants to write smutty poetry and make spaceship toys#if you ask either of them to do math harder than adding they’ll both argue about it for an hour and both be wrong#Obi wan has tiddies and they get him many useless items from his sugar parents#but most of those items end up fueling Cody’s caff and cozy game addictions#Obi wan just wants to wear a pretty sundress in a field of flowers and write poetry and raise kids#his sugar parents would like to stare at his ass while he does this
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LOG TIME
Here’s some attempts I made to reteach myself how to graph logs and finding equations.
Graph—> equation
The idea was using the nearest whole number to the asymptote as the “key point” and then graphing from there.
If you’re a visual person when it comes to graphs, I’m sure it works great.
For me, I cannot for the life of me feel at ease around a graph. Something about visualizing it extremely hard and I usually prefer moving it via algebra — but only for logs lol.
. . . . . . . .
Equation —> graph
#1
This was my next idea. Idk why I thought less words would help. It made it harder to remember things since I wanted to make things simple in preparation for reflections (my mortal enemy).
. . . . .
#2
I’m using my old method! Logs are like magical unicorns and while I do understand when I concentrate how they work most of the time they’re unicorns. So I use exponential functions to figure out inputs and outputs since you just swap x & y and then you got a log to graph.
Thing is while I got a good method down I still couldn’t figure out how to put reflections in.
. . . .
#4 — Finalized method
Presenting: my method~
YAY! I CAN GRAPH LOGS AGAIN.
Interpreting graphs is so much easier folks. I get why my some profs just skip complicated reflections, so easy to forget or fuck it up if you don’t have a solid method.
. . .
Also this took me a solid 2 hours to figure out. I forgot about writing my story, reading, EVERYTHING. I was a math solving fanatic. I had a hunger, and it was for logs.
A hunger that would NOT be satiated until I could break a log and put it back together.
Omfg my brain is so fried 🥱😴
The hard part about logs is that my old method I use to crack the puzzle of most functions doesn’t work as well. Part of why linear, rational, exponential, and power functions are easier for me is because I can remember a few coordinate points or its easy af to figure out the math.
If I want to plot the points for a log graph, I got to use the change of base formula since my calculator only does logs with a base of ten TvT
My graphing calculator’s stuck in Test mode for the last 10 years. Never gave a shit to figure out how to get it out
Now that I got a new method, it’ll be interesting learning other methods so I can help tutor the kiddos. Cuz like I can try to do the more common method but I’ll have to pre-prep the problems or make sure to solve the base log with a change of base for the y-coordinate or I’m soooooo gonna fuck up. Lol.
I honestly do love math but math fuge is like my writing fuge.
So fun but exhausting af.
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TIME TO FUCK UP THE REST OF PRECALC!!!
FUCK YEAAAAAAH!
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