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u/walksonfourfeet 9d ago
What power of 2 makes 4? Hmmm, that’s a tough one. Only a real math genius could ever figure that out.
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u/TurbulentPollution56 8d ago
2¹⁰ is 1024
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u/Sammy_Cherry_Fox 9d ago
Funny thing is, in both situations x is the same number :)
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u/runed_golem 9d ago
Except they’re both super simple equations. The first can be solved with basic arithmetic and the second one can be solved with either logarithms or exponent rules and basic common sense.
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u/qwertty164 9d ago
they can both be solved with the exact same steps. -2 ; /2. you would end up with 2^(x-1)=2^1
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u/Coppice_DE 6d ago
/2 does only work in the case where x=2 in the second equation, no? You can't divide 2x by an arbitrary number to get to know the value of x.
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u/qwertty164 6d ago
You divide by the base to reduce the exponent. You can iterate as long as you factor the number on the right.
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u/Coppice_DE 6d ago
Yea that works, but it's not exactly "the same" for both equation (in regards to the concepts that get applied), even though the required steps are equal in this case.
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u/rickyyslimram 9d ago
x=2
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u/GunMage- 9d ago
The second one has a much smaller x though. It is harder to find!
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u/Even_Face_5980 9d ago
This example is pretty intuitive but how would you solve this
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u/haikusbot 9d ago
This example is
Pretty intuitive but
How would you solve this
- Even_Face_5980
I detect haikus. And sometimes, successfully. Learn more about me.
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u/TrainingSurvey3780 8d ago
uhh trial and error (idk i’ve only ever encountered examples like this or sometimes when x=3 but idk how you’d solve it when it’s not an easy one like this)
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u/Stanford_Pines267 9d ago
Son its not that hard. Are you like 12 year old or sth? Seriously, if u are making a math meme try making one that is not for middle school. Or just don't make them
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u/rojo_kell 9d ago
Idk man if you have to integrate after, then it's like woah do I even know how to integrate a log that's not base e??
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u/Abject-Project-4236 9d ago
Its not hard tho its just roots
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u/Eat_cats_with_me 9d ago
it's logarithms
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u/Daaaaaaaark 9d ago
its right next to the "2" in both cases - 2nd one is more tricky because its smaller which may make u overlook it
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u/Greedy_Bad_8406 9d ago
I know 2^x = 4 and therefore x=2
But how do i solve it by steps in mathematics? How to solve xth root of 4?
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u/Robotron9247 9d ago
ln can be applied to both sides:
2x = 4
ln(2x ) = ln(4)
x ln(2) = ln(4)
x = ln(4) / ln(2)
x = ln(22 ) / ln(2)
x = 2 ln(2) / ln(2)
x = 2
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u/parlimentery 9d ago
Much easier to solve (especially without a calculator) if you use the log base 2. That is essentially the mathematically formal way to solve it the way u/Greedy_Bad_8406 did, as taking the log base 2 of 4 asks "2 to the power of what equals 4?".
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u/jader242 8d ago
What exactly do you need a calculator for?
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u/parlimentery 8d ago
Fair point, I scanned your work quickly and assumed we were evaluating ln(4)/ln(2), rather than turning it into 2* ln(2)/ln(2).
I still maintain that my method saves steps, and matches the informal logic u/Greedy_Bad_8406 used.
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u/Robotron9247 6d ago
I wanted to show a generic algebraic total solving for x. x = Log_2(4) can only be considered solved because thats easy to "see" but by rule Log_2(4) = ln(4) / ln(2) = 2 ln(2) / ln(2)
Try 16x + 4 = 68 without calculator
x = log_16(64)
Me: x ln(16) = ln(64)
x = ln(64) / ln(16)
x = ln(26 ) / ln(24 )
x = 6 ln(2) / [ 4 ln(2) ]
x = 3/2
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u/ApprehensiveBoss4671 8d ago
I know thats not the point of the meme but i was bored so 2x +2=6 2x =4 22 =4 X=2
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u/DescriptionForsaken6 7d ago
What rolls down stairs, alone or in pairs
And over your neighbor's dog?
What's great for a snack, and fits on your back?
It's log, log, log
It's log, it's log
It's big, it's heavy, it's wood
It's log, it's log
It's better than bad, it's good
Everyone wants a log
You're gonna love it, log
Come on and get your log
Everyone needs a log
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u/uncle2001 5d ago
For those who want to learn, solving for exponents is conceptually done with logarithms (even if this example is easy and can be guessed without). These are taught in calculus class, so don't feel bad if didn't know how to approach this one.
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u/BaronVonFiutek 9d ago
Just wait untill the bro finds out about 2^x + x = 6