COLLEGE ALGEBRA!!!!

Exponents

100

4^-3

1/64

200

27^-2/3

1/9

300

y=3^x, find f(-1)

1/3

400

A graph lies on the point (2,9/25), find y=b^x

y-(3/5)^x

500

Exponential functions always increase.

What is an infinite increasing function

Solving exponential functions

100

b^u=b^v, then u=v Name two exponential rules. Hint(We learned them in the beginning of the semester)

1) b^u=b^v, then u=v 2) b^-1=1/b

200

8=1/(16^x)

x=-3/4

300

1/(27^x)=(^4√3)^x-2

x=2/13

400

9^x=(1/3)^(x-5)

5/3

500

Weekly sales will drop rather quickly after the end of an advertising campaign. This drop in sales is known as sales decay. Suppose that the gross sales, S, in hundreds of dollars, of a certain product is given by the exponential function. S(t)=2000(3^-0.2t) Where t is the number of weeks after the end of the campaign. What was the level of sales immediately after the end when t=0? After 1 and 4 weeeks?

t(0)=2000 t(1)=1605 t(4)=830

Class Details!

100

He is called the " Math way King"

Who is James Maloney?

200

These two students were extremely emotional and almost went to blows

Who is Edward Minaya and Besnik Mehovic?

300

This student who is an athlete rivals that of sleeping Beauty

Who is Shawn Harris?

400

This student has two names?

Who is Bobby Robert?

500

This student had the highest grade average of 85 and better.

Who is Paul Scanlon?

Logarithmic Functions

100

Transfer into log form 2^3=8

base is 2

Log2 8=3

200

Change the log into an exponent log3/5 x=2

base is 3/5

(3/5)^2=x

300

Evaluate log log3 1/27

3 is the base

-3

400

Use properties of logs to evaluate log7^(log7 13)

13

500

Find the domain of the log function log5 [(2x-1/x+3)]

(-infinity to -3)U(1/2 to infinity)

Property of logs

100

Finish the rest of the property logb u/v

logb u/v= logbu/v

200

What is the power rule for logs?

logb u^r= rlogb u

300

Use property to expand expression log28x

log2+ log8x

400

expand log6^3

3log6

500

yLoga X = Loga X^Y

What is the power rule.