Applications of

Exponential

and

Logarithmic

Functions Exponential and logarithmic equations can be used to describe:

Exponential Growth

Exponential Decay

Learning curves

Logistic Growth Objectives: To use exponential and logarithmic equations to solve real-world problems.

Realistically, these equations are used by scientists, economists, and sociologists. Exponential equations are also used to model the interest acumulated on a bank deposit or loan. In a town of 15,000 people, the spread of a rumor that the local transit company would go on strike was such that t hours after the rumor started, f(t) persons heard the rumor, where experience over time has shown the following situations a. How many people started the rumor?

b. How many people heard the rumor after 5 hours?

c. How mahy hours does it take for 14,000 people to hear the rumor? A fossil that originally contianed 100 mg of carbon-14 now contians 75mg of the isotope. Determine the aproximate age of the fossil, to the nearest 100 years, if the half -life of carbon-14 is 5570. The growth rate for a certain bacterial culture can be calculated using the formula:

B = 1,000(2)^t/48 How much money will Wai Ming (diversity, woo!!) have at the end of 5 years if he deposits $1,000 at 9% interest compounded semiannually? It is possible to approximate the age of fossils by measuring the amount of carbn-14, a radioactive isotope, that remains inside them, and then applying the exponential decay formula.

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