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Home » Now compute the scalar multiplier: - Crankk.io

Now compute the scalar multiplier: - Crankk.io

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 We are given the exponential growth model:

📌 P(t) = P_0 \cdot e^{kt}

📌 We know that $ P(5) = 3P_0 $, so:

📌 3P_0 = P_0 \cdot e^{5k} \Rightarrow 3 = e^{5k}

📌 Take the natural logarithm of both sides:

📌 \ln(3) = 5k \Rightarrow k = \frac{\ln(3)}{5}

📌 Now, we find the time $ t $ such that $ P(t) = 16200 $ starting

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