Exam 5: Exponential and Logarithmic Functions

An investment increases by 10% every year.Write a function for the factor of increase in the investment as a function of years.Use a graphing calculator to graph your function.Use the graph to estimate when the investment will double.

April wants to use her graphing calculator to check her sketch of y = x but her calculator does not make calculations.Find two equations she could use.

If ln = 6,then x =

If p = ,by using common logarithms express q in terms of p.

If (4x + 1)= 3,then x =

An earthquake which is 48,000 times as intense as a zero-level earthquake has a magnitude on the Richter Scale which is 1.7 less than the intensity of another earthquake.What is the intensity of the other earthquake?

=

Find x: log 0.01 = x

Find x and express your answer in terms of natural logarithms: = 2

Use a graphing calculator to approximate the solution - = 20.

Find x and express your answer in terms of common logarithms: = 3

Find x: 2 = x

Solve for x: = 8

Find x: x = 2

Evaluate and simplify: (-2)

If money is invested at 7% compounded annually and the current amount is 3 times the amount first invested,then the situation can be represented by 3 = .Represent this equation in logarithmic form.What does t represent?

Suppose $2000 is invested at 6.5% compounded annually. (a)Find the value of the investment after 5 years. (b)Find the value of the interest which was earned over the first 5 years.

Find x and express your answer in terms of natural logarithms: = 6

If = ,then x =

Solve for x: (2x + 3)= 2