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help-10
06c9e5b3559943d4b9a8527086c39a92
448,617,609,949,347,840
Uncle Rico
03/12/2022 15:40:52
But how do I show my work
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Uncle Rico
03/12/2022 15:40:56
I haven’t done logs in a long time
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200,013,547,491,688,450
a disappointing son
03/12/2022 15:40:57
that's good enough
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Chai T. Rex
03/12/2022 15:40:59
Your work there is good.
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Uncle Rico
03/12/2022 15:41:13
Do you think it would be easy for other students to comprehend
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a disappointing son
03/12/2022 15:41:28
as long as they know how to rewrite exponential equations logarithmically
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Chai T. Rex
03/12/2022 15:41:31
The only thing is that the side n was on switched, so it's a little strange, but still understandable.
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Uncle Rico
03/12/2022 15:41:34
Do you see the third line, is it even necessary for me to switch to that with a log
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Uncle Rico
03/12/2022 15:41:43
Ok
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Chai T. Rex
03/12/2022 15:41:52
You can make it more explicit, too.
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Uncle Rico
03/12/2022 15:42:13
How
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Uncle Rico
03/12/2022 15:42:18
Can you show me an example
1
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Chai T. Rex
03/12/2022 15:42:24
log₁₀(10ⁿ) = log₁₀(100)
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Chai T. Rex
03/12/2022 15:42:35
Just do the same step to both sides without skipping ahead.
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Uncle Rico
03/12/2022 15:42:41
Ok
1
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Chai T. Rex
03/12/2022 15:42:41
Then you get n = 2 on the next line.
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Uncle Rico
03/12/2022 15:42:49
Lemme try one sec
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Uncle Rico
03/12/2022 15:44:13
https://cdn.discordapp.c…847D12791663.jpg
892959D5-A5C7-4EA1-81E0-847D12791663.jpg
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Uncle Rico
03/12/2022 15:44:16
Nice username btw LOL
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a disappointing son
03/12/2022 15:44:34
it fits me
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Uncle Rico
03/12/2022 15:44:46
So when you take log of a 10
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Uncle Rico
03/12/2022 15:44:50
The log cancels out right
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Uncle Rico
03/12/2022 15:44:54
Cause the base of log is 10
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Chai T. Rex
03/12/2022 15:44:56
Yes, that looks good. Now it's clear you're doing the same thing to both sides each time.
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a disappointing son
03/12/2022 15:45:04
yeah
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Chai T. Rex
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Uncle Rico
03/12/2022 15:45:24
Okay
1
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Uncle Rico
03/12/2022 15:45:31
Thank you guys <3
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Chai T. Rex
03/12/2022 15:46:00
You're welcome.
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Uncle Rico
03/12/2022 15:47:44
What about this one
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Uncle Rico
03/12/2022 15:47:46
https://cdn.discordapp.c…2FF965D4BB8B.jpg
50AF7727-457D-429C-AF34-2FF965D4BB8B.jpg
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Uncle Rico
03/12/2022 15:47:54
I am actually confused how to solve it
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Chai T. Rex
03/12/2022 15:48:29
You can take the 100 out of the logarithm.
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help-10
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Chai T. Rex
03/12/2022 15:49:04
log₁₀(1200) log₁₀(12 · 100) log₁₀(12) + log₁₀(100) log₁₀(12) + 3
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Uncle Rico
03/12/2022 15:51:04
Would that be a 2
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Uncle Rico
03/12/2022 15:51:08
Instead of three
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Uncle Rico
03/12/2022 15:51:14
@Chai T. Rex
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Chai T. Rex
03/12/2022 15:51:26
Oh, right.
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Uncle Rico
03/12/2022 15:52:18
https://cdn.discordapp.c…DD1F47B9E062.jpg
981ED27F-7403-4CA0-9776-DD1F47B9E062.jpg
1
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Uncle Rico
03/12/2022 15:52:19
Does this look right?
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Uncle Rico
03/12/2022 15:52:29
Students can’t use calculators on this
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Uncle Rico
03/12/2022 15:52:35
So is this the most simplified form?
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Chai T. Rex
03/12/2022 15:52:51
Yes, there's an alternative as well.
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Uncle Rico
03/12/2022 15:53:02
Mhm?
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Chai T. Rex
03/12/2022 15:54:02
log₁₀₀(1200)
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Chai T. Rex
03/12/2022 15:54:12
The way you can get that is.
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Chai T. Rex
03/12/2022 15:55:07
2y = log₁₀(1200) y = log₁₀(1200)/2 y = log₁₀(1200)/log₁₀(100) y = log₁₀₀(1200)
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Chai T. Rex
03/12/2022 15:55:28
The last line is the change of base rule.
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Uncle Rico
03/12/2022 15:55:32
Okay
1
0
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Chai T. Rex
03/12/2022 15:55:57
y = log₁₀₀(12) + 1 also.
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Chai T. Rex
03/12/2022 15:56:09
Depends on which you see as simpler.
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Uncle Rico
03/12/2022 16:09:04
How do I do this one
1
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Uncle Rico
03/12/2022 16:09:05
https://cdn.discordapp.c…5F07B90512A1.jpg
865C986B-4FA7-4059-AE73-5F07B90512A1.jpg
1
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Chai T. Rex
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Uncle Rico
03/12/2022 16:11:10
I have no idea
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IntelligentCake
03/12/2022 16:11:16
So you need to isolate x @Uncle Rico
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Uncle Rico
03/12/2022 16:11:22
https://cdn.discordapp.c…0DAE9BE3D761.jpg
AC0486EE-6FC8-4CDA-B6F4-0DAE9BE3D761.jpg
1
0
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IntelligentCake
03/12/2022 16:11:42
Correct
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IntelligentCake
03/12/2022 16:11:54
You can Technically shorten it by 1 step
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IntelligentCake
03/12/2022 16:12:05
Take log base 2 of both sides instead
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IntelligentCake
03/12/2022 16:12:11
You'll get x immediately
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Uncle Rico
03/12/2022 16:12:18
OOOOOHHHH
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Uncle Rico
03/12/2022 16:12:19
OMG
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Uncle Rico
03/12/2022 16:12:21
Okay
1
0
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Uncle Rico
03/12/2022 16:12:25
I didn’t think of that
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Uncle Rico
03/12/2022 16:12:27
Ok one sec
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Uncle Rico
03/12/2022 16:13:25
So is this right
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Uncle Rico
03/12/2022 16:13:28
https://cdn.discordapp.c…DBE91728E1DA.jpg
71165F85-B3D8-4284-8196-DBE91728E1DA.jpg
1
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IntelligentCake
03/12/2022 16:14:00
Ye
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Uncle Rico
03/12/2022 16:14:22
Okay thank you so much
1
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IntelligentCake
03/12/2022 16:14:30
Np
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Chai T. Rex
03/12/2022 16:19:18
And then 1/16 is 2 to the what power?
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Uncle Rico
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Chai T. Rex
03/12/2022 16:19:23
@Uncle Rico
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Chai T. Rex
03/12/2022 16:19:40
Or, alternatively, what power of 2 is 16?
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Uncle Rico
03/12/2022 16:26:40
Hi
1
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Uncle Rico
03/12/2022 16:26:43
Sorry I’m back
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Uncle Rico
03/12/2022 16:26:44
Ummm
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Uncle Rico
03/12/2022 16:26:53
4
1
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IntelligentCake
03/12/2022 16:27:21
What about this
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IntelligentCake
03/12/2022 16:27:38
@Uncle Rico
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help-10
06c9e5b3559943d4b9a8527086c39a92
448,617,609,949,347,840
Uncle Rico
03/12/2022 16:27:43
One sec
1
0
null
null
null
null
null
1,198
help-10
06c9e5b3559943d4b9a8527086c39a92
448,617,609,949,347,840
Uncle Rico
03/12/2022 16:27:53
Idk
1
0
null
null
null
null
null
1,198
help-10
06c9e5b3559943d4b9a8527086c39a92
356,358,102,641,279,000
IntelligentCake
03/12/2022 16:28:13
What happens if the power is negative
0
1
null
null
null
null
null
1,198
help-10
06c9e5b3559943d4b9a8527086c39a92
356,358,102,641,279,000
IntelligentCake
03/12/2022 16:28:19
Like 2^-1
0
1
null
null
null
null
null
1,198
help-10
06c9e5b3559943d4b9a8527086c39a92
448,617,609,949,347,840
Uncle Rico
03/12/2022 16:29:18
So 2^-4
1
0
null
null
null
null
null
1,198
help-10
06c9e5b3559943d4b9a8527086c39a92
448,617,609,949,347,840
Uncle Rico
03/12/2022 16:29:24
Is 1/16
1
0
null
null
null
null
null
1,198
help-10
06c9e5b3559943d4b9a8527086c39a92
356,358,102,641,279,000
IntelligentCake
03/12/2022 16:29:36
Yes
0
1
null
null
null
null
null
1,198
help-10
06c9e5b3559943d4b9a8527086c39a92
356,358,102,641,279,000
IntelligentCake
03/12/2022 16:29:45
So x = ?
0
1
null
null
null
null
null
1,198
help-10
06c9e5b3559943d4b9a8527086c39a92
448,617,609,949,347,840
Uncle Rico
03/12/2022 16:30:14
-4
1
0
448,617,609,949,347,840
Uncle Rico
6265
Uncle Rico
false
1,198
help-10
06c9e5b3559943d4b9a8527086c39a92
356,358,102,641,279,000
IntelligentCake
03/12/2022 16:30:35
Yes
0
1
null
null
null
null
null
1,198
help-10
06c9e5b3559943d4b9a8527086c39a92
448,617,609,949,347,840
Uncle Rico
03/12/2022 16:31:40
https://cdn.discordapp.c…73B1CE7AA291.jpg
30AAAEA9-B3A6-4859-835B-73B1CE7AA291.jpg
1
0
null
null
null
null
null
1,198
help-10
06c9e5b3559943d4b9a8527086c39a92
537,482,727,557,955,600
Chai T. Rex
03/12/2022 16:36:14
Looks good.
0
1
null
null
null
null
null
1,199
help-10
19e774065f8c42aab23de212d3196a38
448,617,609,949,347,840
Uncle Rico
03/12/2022 16:53:39
Thank you guys for the help
1
0
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null
null
null
null
1,199
help-10
19e774065f8c42aab23de212d3196a38
633,025,819,324,973,000
Untitled1011010
03/12/2022 17:00:57
Abstract algebra continuous function norm uniform convergence question - can someone please check this for me?
0
1
537,482,727,557,955,600
Chai T. Rex
7323
Chai T. Rex
false
1,199
help-10
19e774065f8c42aab23de212d3196a38
633,025,819,324,973,000
Untitled1011010
03/12/2022 17:01:03
https://cdn.discordapp.c…826/IMG_0456.png
IMG_0456.png
0
1
537,482,727,557,955,600
Chai T. Rex
7323
Chai T. Rex
false
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help-10
19e774065f8c42aab23de212d3196a38
633,025,819,324,973,000
Untitled1011010
03/12/2022 17:19:43
@Helpers
0
1
448,617,609,949,347,840
Uncle Rico
6265
Uncle Rico
false
1,199
help-10
19e774065f8c42aab23de212d3196a38
551,807,466,631,987,200
Mat
03/12/2022 17:30:54
@Untitled1011010 are you trying to show that F is continuous?
0
1
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null
null
null
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1,199
help-10
19e774065f8c42aab23de212d3196a38
356,908,116,429,897,700
Kaynex
03/12/2022 17:39:29
So I agree that part i works
0
1
null
null
null
null
null
1,199
help-10
19e774065f8c42aab23de212d3196a38
356,908,116,429,897,700
Kaynex
03/12/2022 17:40:09
And you need to show that part ii isn't bounded
0
1
null
null
null
null
null
1,199
help-10
19e774065f8c42aab23de212d3196a38
356,908,116,429,897,700
Kaynex
03/12/2022 17:40:23
I don't follow part ii
0
1
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null
null
null
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1,200
help-10
c7f4636da610413f92bc4e2e73d45397
185,859,257,483,264,000
Lukephos
03/12/2022 18:23:57
I feel like an idiot for still forgetting how to do this, how do you convert an angle value to a Vector2 relative to up? So a 90 degree rotation would be equal to (1, 0) for example, and 45 degress (0.5, 0.5).
1
0
null
null
null
null
null
1,200
help-10
c7f4636da610413f92bc4e2e73d45397
195,951,898,879,066,100
Olly
03/12/2022 18:27:51
I believe that would be (sin(theta), cos(theta))
0
1
null
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null
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null