Exam 5: Exponential and Logarithmic Functions

Which of the following is true? If f(x)= ,then

ln 6 + ln + ln =

Find the domain of y = (x + 1)

The demand function for a product is p = 90 where q is the number of units and p is the price of one unit.At what price will the demand be 5 units? How many units will be demanded if the price is $18.00?

Steve wants to use his graphing calculator to check his sketch of y = x but his calculator does not make calculations.Find two equations he could use.

=

Write the following in terms of ln(x + 2)and ln(x + 4): ln

The number of years it takes for an amount which is invested at an annual rate of p and compounded continuously to become m times as large is given by t = .How long does it take an investment to triple if it is invested at an annual rate of 8% and compounded continuously?

If $10,000 is invested at 16% compounded quarterly,then the compound amount at the end of six years is

If an earthquake is ∙ times as intense as a zero-level earthquake,what is its measurement on the Richter Scale? Write as a logarithm expression and simplify.

Assume that log 5 = 0.6690 and log 6 = 0.7782.Determine the value of log .

The sales manager of a department store finds that its daily sales begins to fall after the end of a promotional campaign.The sales in dollars as a function of the number of days after the campaign's end is given by S(d)= 36,000 .If she does not want sales to drop below 30,000 per day before starting a new campaign,when should she start a new campaign?

Express ln 4 - (ln 2 + ln 3)as a single logarithm.

Write the following in terms of ln(x + 2)and ln(x + 4): ln

By looking at the graph of y = ,sketch a graph of y = - 3.

Write the following in terms of ln(x + 2)and ln(x + 4): ln

The above graph is best represented by

If log(x + = 4,then x can equal

April took a number and multiplied it by a power of 9.Bob started with the same number and got the same result when he multiplied it by 27 raised to a number which was four less than the exponent that April used.What power of 9 did April use?

The number of bacteria in a culture is doubling every hour.Currently the culture has 128 bacteria.Make a table of values for the number of bacteria present each hour for 0 to 4 hours.For each hour write an expression for the number of bacteria as a product of 128 and a power of 2.Use the expressions to make an entry in your table for the number of bacteria after t hours.Write a function N for the number of bacteria after t hours.