Simplify the expression:

√x7 ∙ x5/2 ∙ x-3/2

Simplify the following

(16u2/5v-4)5/4

Simplify:

10√c5k√(c-k)1/2

Rationalize the following and simplify

2

√x + 2

Describe the transformation taking place on the graph of y = 3x

a) 3(x-2)

b) 8 + 5(3x)

When a child was born, a father put $3000 in a savings account that pays 4% annual interest, compounded quarterly. How much will be in the account on the child’s 18th birthday?

If $1,000 is invested at 8% interest, find the value of the investment after 5 years for each compounding period:

a) Annually

b) Quarterly

c) Monthly

d) Weekly

There are now 3.2 million people who play bridge and the # increases by 3.5% a year.

a) Write the rule of the function that gives the # of bridge players x years from now

b) How many people will be playing bridge 15 years from now

c) When will there be 10 million bridge players

Solve:

a)Log 10√43

b)Ln ex² + 2y

Use the properties of logarithms to express as a single logarithm.

½log2(25c²)

Express as a single logarithm:

ln3x – 3 ln x + ln3y

Solve:

e3x = 4

Solve:

ln x + ln(3x-5) = ln 2

Expand the following single logarithm:

log105x³y

Solve the following:

4e2x=40

Solve the following:

5+2ln x =4

What is the value of ln e8?

Using S(t) = Pert solve the following. According to a world almanac, the population of the world in 1991 was estimated to be 5.3 billion people. Assuming the world’s population is growing at a rate of 1.8% per year

a) Write a function to model the information above(equation)

b) Estimate the population of the world in the year 2001

c) In what year will the earth’s population be 15 billion