Textbook QuestionA culture of bacteria has a population of 150150150 cells when it is first observed. The population doubles every 12 hr12~\text{hr}12 hr, which means its population is governed by the function p(t)=150⋅2t12p\left(t\right)=150\cdot{2^{\frac{t}{12}}}p(t)=150⋅212t, where ttt is the number of hours after the first observation.What is the population 4 days4~\text{days}4 days after the first observation?12views
Textbook QuestionA culture of bacteria has a population of 150150150 cells when it is first observed. The population doubles every 12 hr12~\text{hr}12 hr, which means its population is governed by the function p(t)=150⋅2t12p\left(t\right)=150\cdot{2^{\frac{t}{12}}}p(t)=150⋅212t, where ttt is the number of hours after the first observation.How long does it take the population to triple in size?16views
Textbook QuestionA culture of bacteria has a population of 150150150 cells when it is first observed. The population doubles every 12 hr12~\text{hr}12 hr, which means its population is governed by the function p(t)=150⋅2t12p\left(t\right)=150\cdot{2^{\frac{t}{12}}}p(t)=150⋅212t, where ttt is the number of hours after the first observation.How long does it take the population to reach 10,00010,00010,000?11views
Textbook QuestionWrite the following logarithms in terms of the natural logarithm. Then use a calculator to find the value of the logarithm, rounding your result to four decimal places.log660\log_660 12views
Textbook QuestionChanging bases Convert the following expressions to the indicated base.ln∣x∣\ln\left|x\right| using base 515views
Textbook QuestionConvert the following expressions to the indicated base.a1lnaa^{\frac{1}{\ln a}} using basa e, for a>0a > 0 and a≠1a ≠ 1 12views
Multiple ChoiceDetermine if the function is an exponential function. If so, identify the power & base, then evaluate for x=4x=4x=4.f(x)=(−2)xf\left(x\right)=\left(-2\right)^{x}f(x)=(−2)x24views
Multiple ChoiceDetermine if the function is an exponential function. If so, identify the power & base, then evaluate for x=4x=4x=4 .f(x)=3(1.5)xf\left(x\right)=3\left(1.5\right)^{x}f(x)=3(1.5)x22views
Multiple ChoiceDetermine if the function is an exponential function. If so, identify the power & base, then evaluate for x=4x=4x=4 .f(x)=(12)xf\left(x\right)=\left(\frac12\right)^{x}f(x)=(21)x22views