# Ulangan Harian Logaritma

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| By Zizi2
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Zizi2
Community Contributor
Quizzes Created: 1 | Total Attempts: 2,495
Questions: 20 | Attempts: 2,495

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• 1.

### Diketahui log 2 = 0,301 dan log 5 = 0,699. Nilai log(4/5) = …

• A.

0,770

• B.

0,903

• C.

0,770 – 1

• D.

0,903 – 1

• E.

1

D. 0,903 – 1
Explanation
The given question provides the values of log 2 and log 5, which are 0.301 and 0.699 respectively. The expression log(4/5) can be simplified as log(4) - log(5) using the logarithmic property of division. Substituting the given values, log(4/5) = log(4) - log(5) = 0.903 - 1 = -0.097. Therefore, the correct answer is 0.903 - 1.

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• 2.

• A.

1,176

• B.

1,477

• C.

1,653

• D.

1,875

• E.

1,978

C. 1,653
• 3.

### Jika log 2 = 0,301 dan log 3 = 0,477, maka  adalah …

• A.

0.714

• B.

0.734

• C.

0.756

• D.

0.778

• E.

0.784

E. 0.784
Explanation
The correct answer is 0.784. This can be determined by using the logarithmic properties. We can rewrite the given expression as log 2^3. By using the property log a^b = b * log a, we can simplify this to 3 * log 2. Plugging in the given values for log 2, we get 3 * 0.301 = 0.903. Therefore, the answer is the antilog of 0.903, which is 0.784.

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• 4.

### Sama dengan...

• A.

8

• B.

6

• C.

4

• D.

2

• E.

1

B. 6
Explanation
The given sequence is decreasing by 2 each time. Starting from 8, subtracting 2 gives 6, then subtracting 2 again gives 4, and so on. Therefore, the next number in the sequence would be 6.

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• 5.

### Nilai dari 2log4 + 2log12 - 2log6 = ...

• A.

8

• B.

6

• C.

5

• D.

4

• E.

3

E. 3
Explanation
The given expression can be simplified using the properties of logarithms. We can rewrite 2log4 + 2log12 - 2log6 as log4^2 + log12^2 - log6^2. Applying the exponent rule of logarithms, this becomes log16 + log144 - log36. Using the addition rule of logarithms, we can combine these logarithms into a single logarithm: log(16*144/36). Simplifying further, we get log(576/36), which is equal to log16. Since log16 is equal to 4, the final value of the expression is 4. Therefore, the correct answer is 4.

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• 6.
• A.

-2

• B.

-1

• C.

0

• D.

1

• E.

2

A. -2
• 7.
• A.

10

• B.

6

• C.

2

• D.

0

• E.

-2

A. 10
• 8.
E.
• 9.
• A.
• B.

B = 3d

• C.
• D.
• E.

B = d 3

E. B = d 3
• 10.

### Harga dari a log b . b log c . c log d ialah …

• A.

a log d

• B.

d log a

• C.

Log a - log d

• D.

Log d - log a

• E.

Log a. log d

A. a log d
Explanation
The given expression can be simplified using logarithmic properties. We can rewrite the expression as log(a) * log(b) * log(c) * log(d). Since multiplication is commutative, we can rearrange the terms as log(a) * log(d) * log(b) * log(c). By using the property log(a) + log(b) = log(a * b), we can combine log(a) and log(d) to get log(a * d). Therefore, the correct answer is a log d.

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• 11.
• A.

-6

• B.

6

• C.
• D.
• E.
A. -6
• 12.
• A.

11

• B.

6

• C.
• D.

-2

• E.
B. 6
• 13.

### Penyelesaian persamaan 2log (3x2+5x-6) = 2log (3x+1) adalah p dan p. Untuk p > q, nilai p-q adalah....

D.
• 14.
• A.

{ }

• B.

{-3}

• C.
• D.
• E.
C.
• 15.
• A.

2

• B.

3

• C.

8

• D.

24

• E.

27

A. 2
• 16.
• A.

{-10}

• B.

{-8}

• C.

{-7}

• D.

{-6}

• E.

{-4}

E. {-4}
• 17.
• A.

6

• B.

8

• C.

10

• D.

12

• E.

15

B. 8
• 18.
• A.

X < 2

• B.

X > 1

• C.

X < 1 atau x > 2

• D.

0 < x < 2

• E.

1 < x < 2

E. 1 < x < 2
• 19.
• A.

X < -5 atau x > 3

• B.

1 < x < 5

• C.
• D.

3 < x < 5

• E.

-5 < x < 3

D. 3 < x < 5
• 20.
• A.

8 ab

• B.

15 ab

• C.

A2 b5

• D.

3a + 5b

• E.

5a + 3b

D. 3a + 5b

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• Current Version
• Feb 12, 2024
Quiz Edited by
ProProfs Editorial Team
• Nov 18, 2017
Quiz Created by
Zizi2