Newton’s Law of Cooling states that the temperature T of an object at any time t can be described by the equation T = Ts + (T0 − Ts)e−^kt, where Ts is the temperature of the surrounding environment, T0 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.
Newton’s Law of Cooling states that the temperature T of an object at any time t can be described by the equation T = Ts + (T0 − Ts)e−^kt, where Ts is the temperature of the surrounding environment, T0 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.
Chapter6: Exponential And Logarithmic Functions
Section6.6: Exponential And Logarithmic Equations
Problem 79SE: Recall the formula for continually compoundinginterest, y=Aekt. Use the definition of a...
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81. Newton’s Law of Cooling states that the temperature
T of an object at any time t can be described by the
equation T = Ts + (T0 − Ts)e−^kt, where Ts
is the temperature of the surrounding environment, T0
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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