#logs in math

[er-cryptid]

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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[lilacandladybugs]

wtf is discrete math this is silly. free the math. let the math be scandalous

[sysy-studyblr]

monday 13/05/24

math! truly what does IL mean in german math???

♫ coast2coast - dominic fike ♫

[bitit]

wanted to try a little experiment of including the original source of the doodle even after the render :)

[pantheraleo04]

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.

[mist-the-wannabe-linguist]

Literally just want to write some headcanons on aviators' tools for the Temeraire universe but god it involves so much math I wanna cry

[honeyyoubetter-believeitsbutter]

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

[t4tstarvingdog]

WAIT. NEW JAMV???

[anxiously-sidequesting]

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

[dogbunni]

cat needs to go to the vet again. I am on my hands and knees begging for a break pleasepleasepleasepleasepleaseplease

[stary-night]

Eigens your vectors

[cws-archivist-logs]

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?

[thenighttrain]

kids today will never know the highs and lows of being a directioner

[jennhoney]

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.

[padawansuggest]

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.

[sock-to-the-third]

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.

.

TIME TO FUCK UP THE REST OF PRECALC!!!

FUCK YEAAAAAAH!