ULANGAN HARIAN LOGARITMA

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| By Zizi2

Zizi2

Community Contributor

Quizzes Created: 1 | Total Attempts: 2,588

Questions: 20 | Attempts: 2,589 | Updated: Feb 12, 2024

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Ulangan Harian Logaritma - Quiz

Questions and Answers

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
Correct Answer
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.

Log 3 = 0,477 dan log 5 = 0,699 maka log 45 adalah …
- A.
  
  1,176
- B.
  
  1,477
- C.
  
  1,653
- D.
  
  1,875
- E.
  
  1,978
Correct Answer
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
Correct Answer
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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0
0
4.

Sama dengan...
- A.
  
  8
- B.
  
  6
- C.
  
  4
- D.
  
  2
- E.
  
  1
Correct Answer
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
Correct Answer
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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1
0
6.
- A.
  
  -2
- B.
  
  -1
- C.
  
  0
- D.
  
  1
- E.
  
  2
Correct Answer
A. -2
7.
- A.
  
  10
- B.
  
  6
- C.
  
  2
- D.
  
  0
- E.
  
  -2
Correct Answer
A. 10
8.
- A.
- B.
- C.
- D.
- E.
Correct Answer
E.
9.
- A.
- B.
  
  B = 3d
- C.
- D.
- E.
  
  B = d ³
Correct Answer
E. B = d ³
10.

Harga dari ^alog b . ^b log c . ^c log d ialah …
- A.
  
  ^a log d
- B.
  
  ^dlog a
- C.
  
  Log a - log d
- D.
  
  Log d - log a
- E.
  
  Log a. log d
Correct Answer
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.
Correct Answer
A. -6
12.
- A.
  
  11
- B.
  
  6
- C.
- D.
  
  -2
- E.
Correct Answer
B. 6
13.

Penyelesaian persamaan ²log (3x²+5x-6) = ²log (3x+1) adalah p dan p. Untuk p > q, nilai p-q adalah....
- A.
- B.
- C.
- D.
- E.
  
  3
Correct Answer
D.
14.
- A.
  
  { }
- B.
  
  {-3}
- C.
- D.
- E.
Correct Answer
C.
15.
- A.
  
  2
- B.
  
  3
- C.
  
  8
- D.
  
  24
- E.
  
  27
Correct Answer
A. 2
16.
- A.
  
  {-10}
- B.
  
  {-8}
- C.
  
  {-7}
- D.
  
  {-6}
- E.
  
  {-4}
Correct Answer
E. {-4}
17.
- A.
  
  6
- B.
  
  8
- C.
  
  10
- D.
  
  12
- E.
  
  15
Correct Answer
B. 8
18.
- A.
  
  X < 2
- B.
  
  X > 1
- C.
  
  X < 1 atau x > 2
- D.
  
  0 < x < 2
- E.
  
  1 < x < 2
Correct Answer
E. 1 < x < 2
19.
- A.
  
  X < -5 atau x > 3
- B.
  
  1 < x < 5
- C.
- D.
  
  3 < x < 5
- E.
  
  -5 < x < 3
Correct Answer
D. 3 < x < 5
20.
- A.
  
  8 ab
- B.
  
  15 ab
- C.
  
  A² b⁵
- D.
  
  3a + 5b
- E.
  
  5a + 3b
Correct Answer
D. 3a + 5b