A Nice Factorial Exponential Equation

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A Nice Factorial Exponential Equation | Olympiad Math Prep!

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Ай бұрын

A Nice Factorial Exponential Equation | Olympiad Math Prep!
Get ready to tackle an intriguing factorial exponential equation in this Olympiad Math Prep video! Perfect for those preparing for math competitions or anyone looking to sharpen their problem-solving skills. Join us as we break down this challenging equation step-by-step, providing you with valuable insights and techniques to solve similar problems.
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Topics covered:
Exponential equations
Factorial
Factorial laws
How to solve exponential equations?
Algebra
Properties of exponents
Algebraic identities
Radicals
Positive Integers
Factorial Exponential Equation
Math Olympiad preparation
Math Olympiad training
Exponent laws
Real solutions
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#factorial #exponentialequations #olympiadmath #mathematics #math #matholympiad #problemsolving #mathchallenge #radical #algebra
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Пікірлер: 10

@tejpalsingh366 Ай бұрын

X!^(x+1)!= 24^ 120 Hence; x= 4

@abcekkdo3749 Ай бұрын

X=4

@user-kp2rd5qv8g Ай бұрын

The RHS = 16^(18). 9^(12) = 24^24 = (4!)^(4!) THUS, (X!)^(X+1!) = (4!)^(4! . 5) = (4!)^(5!). THUS, X = 4.

@ZhilinChen-my7tp Ай бұрын

I have got the right answer.

@nasrullahhusnan2289 Ай бұрын

sqrt(16³⁶)=16¹⁸ =8¹⁸2¹⁸ =8¹⁸(2³)⁶ =8²⁴ cbrt(9³⁶)=9¹²=3²⁴ [sqrt(16³⁶)][cbrt(9³⁶)=8²⁴3²⁴ =24²⁴ (x!)^(x+1)!=(24²⁴)⁵ =24¹²⁰ =(4!)^[5(4!)] =4!^(5!) =4!^(4+1)! --> x=4

@user-ny6jf9is3t Ай бұрын

[x!^x!]^(x+1)=[(24)^(24)]^5 αρα x+1=5 , x=4

@RealQinnMalloryu4 Ай бұрын

5x^10 5^1x^2^5 1^1x2^1; x^2^1 ( x ➖ 2x+1) 32^72 4^16^8^9 4^4^4^8^3^2 2^22^22^2^2^3^3^2 1^11^11^11^12^13^1 23 (x ➖ 3x+2) 27^118 3^9^10^10^8 3^3^3^2^52^52^3 1^1^31^11^12^1 32 (x ➖ 3x+2)

@user-ny6jf9is3t Ай бұрын

Πραγματικα εισαι ο νεος αινσταιν