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111t4f15.doc

Use a calculator to find each value to four decimal places.

1.

image23.jpg 2.
image2.wmf

57

.

2

log

3.
image3.wmf

31

.

6

log

4.
image4.wmf

3

2

ln

5.

image5.wmf

43

.

0

log

=

y

6.
image6.wmf

4

.

1

log

=

y

7.
image7.wmf

49

.

2

ln

-

=

y

Find each value for the given function:

image8.wmf

(

)

x

x

f

÷

ø

ö

ç

è

æ

=

8

1

8.

image9.wmf

(

)

3

=

x

f

9.
image10.wmf

(

)

2

-

=

x

f

Write each equation in exponential form. Make it look like the next set.

10.

image11.wmf

4

1

3

1

log

81

-

=

11.
image12.wmf

3

64

log

4

1

-

=

Write each equation in logarithmic form. Make it look like the previous set.

12.

image13.wmf

4

1

16

5

.

0

=

-

13.
image14.wmf

2

16

4

1

=

Find the value of x. same base…

14.

image15.wmf

3

64

1

log

=

x

15.
image16.wmf

4

log

3

-

=

x

16. The growth of a town’s population is modeled by

image17.wmf

0.03t

160e

P

=

. How large will the population by when t=16?

Solve the system of equations.

17.

image18.wmf

î

í

ì

=

-

-

=

+

3

2

6

1

4

3

y

x

y

x

18.

image19.wmf

î

í

ì

-

=

=

+

-

11

8

7

55

40

35

y

x

y

x

Graph.

19.

image20.wmf

(

)

x

x

f

÷

ø

ö

ç

è

æ

=

5

2

20.
image21.wmf

(

)

x

x

g

2

=

image1.wmf

5

12

ln

Using Pascal’s Triangle… Show your work for full credit. Circle your final answer

21.

image22.wmf

(

)

=

-

4

3

2

2

5

n

m

22. What is an exponential equation

23. How do you get exponential growth?

24. How is that different than exponential decay?

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