'Crack the Code: Mastering the Art of Solving Exponential Olympiad Problems! 🔓'

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"Unlock the secrets of exponential problem-solving and take your math skills to new heights! 🚀 In this video, we'll break down a challenging Olympiad problem step-by-step, sharing expert tips and techniques to help you conquer even the toughest exponentials. Join us on this journey to mathematical mastery and discover the thrill of solving the unsolvable! 💡

#ExponentialProblem #OlympiadMath #MathSolution #ProblemSolving #MathMastery #LearnMath #Mathematics"
  1. AK Khan Tutor
  2. Exponential problem
  3. Olympiad math
  4. Math solution
  5. Problem solving
  6. Math mastery
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Nice equations nice explaining
Thanks mester

jalalal-misrati
Автор

Crack the code by learning to recognize Golden Ratio problems. Let Φ = (3/2)^n, where Φ=(√5+1)/2 is the positive root of Φ^2–Φ–1=0. Divide the given equation by 6^n and rearrange to (3/2)^n–1–(2/3)^n=0. Multiply this equation by (3/2)^n to obtain [(3/2)^n]^2–(3/2)^n–1=0. Substitute Φ = (3/2)^n into this equation to obtain Φ^2–Φ–1=0, which verifies the first assumption. Thus, n=lnΦ/ln(3/2)=1.18681...

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