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At first glance, this exponential fraction looks like it demands pages of heavy algebra: (4ˣ - 2ˣ) / 2 = 6 Can you find the real value of x before your coffee cools down? What You'll Learn: In this video, we break down this intimidating equation step-by-step using a neat substitution trick. By recognizing the relationship between 4ˣ and 2ˣ, we turn an intimidating exponential puzzle into a familiar quadratic equation—and uncover why one of the solutions is an impostor! Timestamps: 0:00 - The Puzzle: (4ˣ - 2ˣ) / 2 = 6 0:38 - Clearing the Fraction 1:00 - The Clever Exponent Rewrite (4ˣ = (2ˣ)²) 1:40 - Solving the Hidden Quadratic 3:45 - Spotting the "Impostor" Solution 4:50 - The Final Answer & Quick Challenge Did you spot the answer right away just by testing small numbers, or did you take the algebraic route? Let me know in the comments below! If you enjoyed this brain exercise, don't forget to like, subscribe to Logic Booster, and turn on notifications for more math puzzles. #Math #Algebra #MathPuzzles #ExponentialEquations #LogicBooster