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Home » But let’s change number to avoid decimal in count. - Databee Business Systems

But let’s change number to avoid decimal in count. - Databee Business Systems

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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📌 = 2^3, \quad 64 = 2^6

📌 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}} $.

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