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Home » The highest power of 3 is \( 3^1 \). - Crosslake

The highest power of 3 is \( 3^1 \). - Crosslake

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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📌 Try $ r = 2.5 $:

📌 r^{1.5} = (2.5)^{1.5} = \sqrt{2.5^3} = \sqrt{15.625} pprox 3.95

📌 Numerator: $ 1 + 2.5 + 6.25 + 15.625 = 25.375 $

📌 Then: $ rac{25.375}{3.95} pprox 6.42 > 6 $

📌 Try $ r = 2.3 $:

📌 r^{1.5} pprox \sqrt{2.3^3} = \sqrt{12.167} pprox 3.49

📌 Numerator: $ 1 + 2.3 + 5.29 + 12.167 pprox 20.757 $

📌 ThenQuestion: A plant biologist is studying a population of genetically modified wheat plants. The number of plants that survive after $ t $ weeks is modeled by the function $ S(t) = rac{t^2 + 5t + 6}{t + 2} $. What is the simplified expression for $ S(t) $, and what is the smallest integer value of $ t $ for which $ S(t) $ is an integer?

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