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Home » Thus, the value of $x$ that satisfies the equation is: - Dachbleche24

Thus, the value of $x$ that satisfies the equation is: - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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2^x \cdot (2^3)^{x-1} = 2^6
\Rightarrow 2^x \cdot 2^{3(x-1)} = 2^6
\Rightarrow 2^{x + 3x - 3} = 2^6
\Rightarrow 2^{4x - 3} = 2^6
Equate exponents:
4x - 3 = 6 \Rightarrow 4x = 9 \Rightarrow x = rac{9}{4}
Thus, the value is $ oxed{rac{9}{4}} $.
Question: Expand the product $ (x + 2y - z)(x - 2y + z) $ and simplify...
Let $ a = x $, $ b = 2y - z $. Then:
Now expand $ (2y - z)^2 $:

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