algebra

algebra

please look in the attachment for the proper file.

a. b. c. d.

Write this expression in a single logarithm: log 4 + log 2 – log 5.

____ 2.

____ 3.

a. b. c. d.

1. log −30
2. log1

c.

d.

log −

Write the equation

= 27 in logarithmic form.

log27 = −3 27 = −3

log3 27 = − log−3 27 =

____ 4.

Expand the logarithm:

.

1. 3logbx+3logby–3logb4
2. 3logb xy + logb 4
3. 3logb x+logb y–logb 4
4. 3(logbx+logby)–logb4

____ 5.

Solvetheequation:ln2+ln6=x.

1. 12
2. 2.079
3. 1.099
4. 2.485

You place $900 in an investment account that earns 6% interest compounded continuously. Find the balance after 5 years.

1. $906.05
2. $1546.78
3. $1214.87
4. $1006.58

Which of the following describes the function y = 1.023(0.98)x?

1. exponential decay
2. exponential growth
3. quadratic
4. linear

The adult population of a city is 1,150,000. A consultant to a law firm uses the function P(t) = 1,150,000(1 –

e−0.03t) to estimate the number of people P(t) who have heard about a major crime t days after the crime was first reported. About how many days does it take for 60% of the population to have been exposed to news of the crime?

1. 46 days
2. 15 days
3. 31 days
4. 19 days

Solve the equation e4x = 24.

____ 6.

____ 7.

____ 8.

____ 9.

____ 10.

1. −6.00
2. 0.34505
3. 6.00000
4. 0.79451

Add and simplify: a.

b. c. d.

+ .

____ 11.

b. c. d.

Solve the equation: =

1. −9
2. 3
3. −3
4. 9

Add and simplify: a.

+

.

____ 12.

____ 13.

____ 14.

____ 15.

____ 16.

.

Which of the following describes the function y = 1x?

1. exponential decay
2. exponential growth
3. quadratic
4. linear

Which exponential equation goes through the points (4, 3072) and (−1, 3)?

a. b. c. d.

y = 20(4)x y = 8(4)x y = 12(4)x y = 16(4)x

Solve the equation log x + log 2 = 5.

1. 100
2. 50,000
3. 5,000
4. 2.5

What are the points of discontinuity of this function: y = ?

1. none
2. 8, −8
3. 4, −4
4. none

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