Chapter 7 Exponential and Logarithmic Functions - 7.6 Solve Exponential and Logarithmic Equations - 7.6 Exercises - Problem Solving - Page 521: 55

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Given: $T=37\\T_0=75\\r=1.37$ Apply Newton's Law of Cooling: $T=(T_0-T_R)e^{-rt}+T_R$ Substitute: $37=(75-T_R)e^{-(1.37)(1)}+T_R\\37=75e^{-1.37}-T_Re^{-1.37}+T_R\\T_R-T_Re^{-1.37}=37-75e^{-1.37}\\T_R(1-e^{-1.37})\approx17.942\\T_R=24.05$