Chapter 7 Exponential and Logarithmic Functions - 7.2 Graph Exponential Decay Functions - 7.2 Exercises - Problem Solving - Page 491: 33a

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Graph the function: $y=24000(0.845)^t$ Let the model be equal to 10000 Obtain: $10000=24000(0.845)^t\\\frac{10000}{24000}=(0/845)^t\\\log(0.4167)=\log(0.845)^t\\ \log(0.4167)=t \log (0.845)\\\frac{\log(0.4167)}{\log(0.845)}=\frac{t\log(0.845)}{\log(0.845)}\\t=\frac{-0.3802}{-0.0731}\approx5.2$