\text{Population} = 2^2 \cdot 3^4 \cdot 2^{t/3} = 2^{2 + t/3} \cdot 3^4

Sat, 02 May 2026 23:02:23 +0000

Understanding Population Growth: Modeling Population with Exponential Growth Formula The population of a region grows dynamically over time, and understanding how it changes is essential for urban planning, resource allocation, and sustainable development. One powerful way to model exponential population growth is using prime factorization to express the population formula — and insights from such mathematical representations reveal fascinating patterns. ### The Growth Equation Explained Consider a population growth model given by:
\\[
\\ ext{Population} = 2^2 \\cdot 3^4 \\cdot 2^{t/3}
\\]