OpenStax, Algebra and Trigonometry 2e §6.6 Exponential and Logarithmic Equations · Exercise 86 · Algebra · Exponentials & logarithms

Exponential and Logarithmic Equations · Exercise 86

Newton’s Law of Cooling states that the temperature $T$ of an object at any time t can be described by the equation $T = T_{s} + (T_{0} - T_{s}) e^{- k t},$ where $T_{s}$ is the temperature of the surrounding environment, $T_{0}$ is the initial temperature of the object, and $k$ is the cooling rate. Use the definition of a logarithm along with properties of logarithms to solve the formula for time $t$ such that $t$ is equal to a single logarithm.

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OpenStax, Algebra and Trigonometry 2e · §6.6 Exponential and Logarithmic Equations · Exercise 86

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