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.
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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).
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#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.
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#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.
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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!
