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Robert Bosch Logarithms Quiz 4

Question 1

Time: 00:00:00

\log(x) = 3.8714

and

\log(y) = 2.1003

, what is the value of

\log\left(\frac{x}{y}\right)

1.7711

1.7712

1.7710

1.7713

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Answer: A) 1.7711
Explanation:
Using the property of logarithms, $\log\left(\frac{x}{y}\right) = \log(x) - \log(y) = 3.8714 - 2.1003 = 1.7711$ .

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Question 2

Time: 00:00:00

\log(p) = 0.7654

and

\log(q) = -0.2132

, what is the value of

\log(pq)

0.5542

0.5522

0.5532

0.5592

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Answer: B) $0.5522$
Explanation: Using the property of logarithms, $\log(pq) = \log(p) + \log(q) = 0.7654 + (-0.2132) = 0.5522$ .

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Question 3

Time: 00:00:00

\log(a) = -4.5221

and

\log(b) = -1.8230

, what is the value of

\log\left(\frac{a}{b}\right)

-2.6991

-2.6990

-2.6992

-2.6993

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Answer: A) -2.6991
Explanation:
Using the property of logarithms,
$\log\left(\frac{a}{b}\right) = \log(a) - \log(b) = -4.5221 - (-1.8230) = -2.6991$ .

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Question 4

Time: 00:00:00

\log(r) = 2.3481

and

\log(s) = 0.5023

, what is the value of

\log(rs)

2.8458

2.8459

2.8457

2.8504

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Answer: D) 2.8504
Explanation:
Using the property of logarithms,
$\log(rs) = \log(r) + \log(s) = 2.3481 + 0.5023 = 2.8504$ .

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Question 5

Time: 00:00:00

\log(c) = -0.9876

and

\log(d) = 1.2345

, what is the value of

\log(cd)

0.2469

0.2468

0.2470

0.2467

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Answer: A)0.2469
Explanation: Using the property of logarithms,
$\log(cd) = \log(c) + \log(d) = -0.9876 + 1.2345 = 0.2469$ .

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Question 6

Time: 00:00:00

\log(u) = -2.8765

and

\log(v) = -1.3210

, what is the value of

\log\left(\frac{u}{v}\right)

-1.5555

-1.5556

-1.5554

-1.5557

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Answer: A)-1.5555
Explanation:
Using the property of logarithms, $\log\left(\frac{u}{v}\right) = \log(u) - \log(v) = -2.8765 - (-1.3210) = -1.5555$ .

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Question 7

Time: 00:00:00

\log(g) = 3.2001

and

\log(h) = -0.8001

, what is the value of

\log\left(\frac{g}{h}\right)

4.0002

4.0001

4.0003

4.0000

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Answer: A)4.0002
Explanation: Using the property of logarithms,
$\log\left(\frac{g}{h}\right) = \log(g) - \log(h) = 3.2001 - (-0.8001) = 4.0002$ .

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Question 8

Time: 00:00:00

\log(m) = -1.9876

and

\log(n) = -0.5432

, what is the value of

\log\left(\frac{m}{n}\right)

-1.4444

-1.4443

-1.4445

-1.4447

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Answer: A) -1.4444
Explanation: Using the property of logarithms, $\log\left(\frac{m}{n}\right) = \log(m) - \log(n) = -1.9876 - (-0.5432) = -1.4444$ .

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Question 9

Time: 00:00:00

\log(k) = 0.1000

and

\log(l) = -1.2000

, what is the value of

\log\left(\frac{k}{l}\right)

1.3000

1.3001

1.2999

1.3002

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Answer: A) 1.3000
Explanation: Using the property of logarithms,
$\log\left(\frac{k}{l}\right) = \log(k) - \log(l) = 0.1000 - (-1.2000) = 1.3000$ .

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Question 10

Time: 00:00:00

\log(p) = -0.9876

and

\log(q) = 1.2345

, what is the value of

\log(pq)

0.2469

0.2468

0.2470

0.2467

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Answer: A) 0.2469
Explanation: Using the property of logarithms,
$\log(pq) = \log(p) + \log(q) = -0.9876 + 1.2345 = 0.2469$ .

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