Exam 5: Exponential and Logarithmic Functions

125 =

Evaluate and simplify: 1

Find x: ln x = 1

The value of an investment of $1000 earning 8% compounded yearly is given by A = 1000(1.0 ,where t is the number of years it has been invested.If the amount of your investment is now $4000,how long has it been invested?

Consider g(x)= - (x + 2) (a)Graph g(x) (b)Find the domain of g(x)

Assume your $2000 investment,which is guaranteed to triple every decade,has a one time $10 service charge. (a)Make a table of the value of your investment without the service charge at each decade from 0 to 3. (b)Make a table of the value of your investment with the service charge deducted at each decade from 0 to 3. (c)How could you use a graph of (a)to make a graph of (b)?

Write log(x + 3)in terms of natural logarithms.

An earthquake which is 520,000 times as intense as a zero-level earthquake has a magnitude on the Richter Scale which is 2.7 more than the intensity of another earthquake.What is the intensity of the other earthquake?

An earthquake which is 7200 times as intense as a zero-level earthquake has a magnitude on the Richter Scale which is 3.6 less than the intensity of another earthquake.What is the intensity of the other earthquake?

Solve for x: = 7

Use the change base formula and your graphing calculator to graph f(x)= x

The population of a city is given by P = 10,000(1.0 where t is the number of years after 1988.Find the population in (a)1988 (b)1989 (c)1990.

Evaluate and simplify:

A radioactive substance decays according to the equation N = ,where N is the number of milligrams present after t days.Find the half-life of the substance.

What power of 18 is 36?

Find x: x = -3

log 10,000 - 6 log =

The value of 0 is

Solve for x: = 8

Solve for t: 300 = 500(1 - ).Assume that ln(0.4)= -0.9.