# Logarithm and Nearest Cent Essay

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Thomas Hodges
MAT104, section 066VA016, Summer 1 2014
Instructor: SONYA MC QUEEN
Due : Wednesday, August 13 2014 09:00 AM EDT
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Week 6 Quiz (Chapters 10 & 11) (Quiz)
Current Score : 23.74 / 30

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1. 2.5/2.5 points | Previous Answers

Write the equations in logarithmic form.
(a)

729 = 93

(b)

16 =

(c)

a = bc

1 −2
4

2. 2.5/2.5 points | Previous Answers

Use the definition of logarithm to simplify each expression.
(a)

log10 10

1
(b)

1 log10 1,000

3

3

(c)

log10 10−4

-4

-4

3. 1.86/2.5 points | Previous Answers

Solve each exponential equation. Give the exact value for x.
(a)

3x =

1
9

x=
(b)

7x = 10

x=
(c)

6x = 4.5

x=
(d)

x=

2x = 3

4. 2.5/2.5 points | Previous Answers

Find a simplified value for x by inspection. Do not use a calculator.
(a)

log4 16 = x

x= 2
(b)

2 log2 32 = x

x= 5
(c)

5 log3 243 = x

x= 5
(d)
x= 3

5 log4 64 = x
3

5. 2.5/2.5 points | Previous Answers

Contract the expressions. That is, use the properties of logarithms to write each expression as a single logarithm with a coefficient of 1.
(a)

ln 3 − 2 ln 5 + ln 10

(b)

ln 3 − 2 ln(8 + 4)

(c)

ln 3 − 2(ln 4 + ln 8)

6. 0/2.5 points | Previous Answers

A seismograph 300 km from the epicenter of an earthquake recorded a maximum amplitude of
4.2
5.5

102 µm. Find this earthquake's magnitude. (Round your answer to one decimal place.)
6.6

7. 0/2.5 points | Previous Answers

Find the present value, using the present value formula and a calculator. (Round your answer to the nearest cent.)
Achieve \$225,500 at 8.55% compounded continuously for 8 years, 135 days.
\$ 110242.21

110,244.09

8. 2.5/2.5 points | Previous Answers

Suppose that an insurance agent offers you a policy that will provide you with a yearly income of
\$30,000 in 30 years. What is the comparable salary today, assuming an inflation rate of 6% compounded annually? (Round your answer to the nearest cent.)
\$…