Objective 2: Evaluate the Exponential Function Base e For Exercises 37–38, evaluate the functions for the given values of x . Round to 4 decimal places. f ( x ) = e x a. f ( 4 ) b. f ( − 3.2 ) c. f ( 13 ) d. f ( π )
Objective 2: Evaluate the Exponential Function Base e For Exercises 37–38, evaluate the functions for the given values of x . Round to 4 decimal places. f ( x ) = e x a. f ( 4 ) b. f ( − 3.2 ) c. f ( 13 ) d. f ( π )
Solution Summary: The author calculates the function f(x)=ex at the given value of 53.9358.
For Exercises 13–18, use the quotient property of logarithms to write the logarithm as a difference of logarithms. Then
simplify if possible. (See Example 2)
13. logiz
14. log
15. In
1000
16. In
17. log
18. log
100
The tuition in the school year 2012–2013 at a certain university was $15,000. For the school year 2017–2018, the tuition was $17,850. Find an exponential growth function for tuition T (in dollars) at this university t years after the 2012–2013 school year. (Round your values to four decimal places.)
T =
Assuming it increases at the same annual rate, use the function to predict the tuition (in dollars) in the 2021–2022 school year. (Round your answer to the nearest integer.)
$
Explain the properties of natural and base exponential functions a. Give at least two examples that can be applied to one of the properties.
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