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Exponential Growth Explained: The Olympiad Problem
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The Olympiad Problem That Stumped Mathematicians for 100 Years
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Why This Exponential Problem is So Hard
Easy method take out 10⁵ common out, it becomes 10⁵ (3⁵-2⁵) = 100000 (243-32) = 21100000
Nice
_1210
1/2
nice sir gggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggggg
hi
Sir es math ko aap kaha estemal karoge warg 3 se jeyadahb
2^10 = 32 square = 1024 2^20 = (1000+24) square = 1000000+48000+576 = 1048576 Ans = 1047552
2
K=2
98, hi sahi hai😅
Find some harder questions mann!!!
Why do you solve the posed problem in a complicated manner? This problem can be solved very easily using the theory of indices as 2^(1+2x)=2^4 Therefore, equating the exponents of 2 on LHS and RHS, We get x=3/2 It is that simple!
Nice you are right 👍
4^x=8 2^2x=2^3 2x=3 X=3/2
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Super study
Thank you
Good prosess
Why not k = -6, You should consider + - both
Because it is not in अंडररूट
X=2
Right
@Surajprajapati390 Honestly speaking I did it mentally.
Sir 🙏🙏🙏🙏
(3y)³ =216 27y³ = 216 y³ =216/27 y³ =8 y = ³√8 y = 2
Nice
(3y)^3 = 216. 27 y^3=216. Now , divide both sides by 27,to get y^3 =8. Therefore, y= 2. This is a real solution only., Since the given equation is a cubic one, two more solutions will be available after several steps on (3y)^3 - 216 = 0.
Nice
Take logarithm: xlog(16)]=8log(x) [log(x)]/x=[log(16)]/8 =[log(4)]/4 --> x=4 =[log(2)]/2 --> x=2 Therefore x={2,4}
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keep it sir
Thank you
Solve karne par x ki value 3 hogi
Nice 👍
X=5. Y=4
Right
Please contact me. I will tell you the short process.
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Bap re baap. Very long process. Please find square plus square then you will get very short and easy solution.
Solve karne par x ka value 5 hoga
Right
You have to learn first
Ok thank you sir
Totally foolish method
Lge rho bhai success jrur milegi
Excellent 🎉genius ✅
Thanks dost
Excellent 🎉bhai ❣
Kyuki आगे बढ़ना है तो sacrifice karna padega
एक laptop लो dost EMI pe agar paise na ho तो Aur OBS studio se पढ़ाओ ok go ahead
OBC studio kya hai
@@Surajprajapati390 OBS Bhai OBC नही OBC is a cast and OBS is an application
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Ok
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Wonderful
Thanks parul
Nice 👍👍🎉🎉
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Helpful
Nice.
Amazing🎉
Well explained
Gadha hai
So nice.
Wonderful session🎉
Superb🎉🎉
Thank you
2^18-1=[(2^9) ²-1] (2^9+1) (2^9-1) (512+1) (512-1) =513×511