Exam 5: Exponential and Logarithmic Functions

Assume that log 5 = 0.6690 and log 6 = 0.7782.Determine the value of log 30.

Find x: log x = -2

If $500 is invested for 3 years at 7% compounded semiannually,then the compound interest at the end of the period is

The amount of plastic being recycled increases by 30% every year.Write a function for the factor of increase in plastic recycling as a function of years.Use a graphing calculator to graph your function.Use the graph to estimate when the amount of recycling will triple.

Assume x = 2; y = .12.Find 3x .

A manufacturer's supply equation is p = log where q is the number of units supplied at price p per unit.At what price will the manufacturer supply 200 units?

A radioactive element is such that N grams remain after t hours,where How many grams remain after 30 hours?

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

What power of 9 is 36?

Solve for x: log(98 - x + )= 2

If a radioactive substance decays according to the equation N = ,where N is the number of milligrams present after t days,then the half-life,in days,of the substance is given by

If x = x,then a = b.

Express = -3 in exponential form.

The demand equation for a product is given by q = 1000 - .Solve for p and express your answer in terms of common logarithms.

Assume that log 6 = 0.7782.Determine the value of log(0.6).

Assume that log 3 = 0.4771.Determine the value of log (0.09).

If p = ,then in terms of common logarithms,q =

Assume that log 4 = 0.6021.Determine the value of log 400.

Evaluate and simplify:

Express = in logarithmic form.