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Question Description

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.

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____ 2.

____ 3.

a.b.c.d.

  1. log −30
  2. log1

c.

d.

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log −

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Write the equation

= 27 in logarithmic form.

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log27 = −327 = −3

log3 27 = −log−3 27 =

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____ 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 thebalance 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 crimewas first reported. About how many days does it take for 60% of the population to have been exposed tonews 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.

+ .

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____ 11.

b.c.d.

Solve the equation: =

  1. −9
  2. 3
  3. −3
  4. 9

Add and simplify:a.

+

.

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____ 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)xy = 8(4)xy = 12(4)xy = 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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