ULANGAN HARIAN LOGARITMA

Approved & Edited by ProProfs Editorial Team

The editorial team at ProProfs Quizzes consists of a select group of subject experts, trivia writers, and quiz masters who have authored over 10,000 quizzes taken by more than 100 million users. This team includes our in-house seasoned quiz moderators and subject matter experts. Our editorial experts, spread across the world, are rigorously trained using our comprehensive guidelines to ensure that you receive the highest quality quizzes.

Learn about Our Editorial Process

| By Zizi2

Zizi2

Community Contributor

Quizzes Created: 1 | Total Attempts: 2,576

Questions: 20 | Attempts: 2,576 | Updated: Feb 12, 2024

Questions

Settings

Create your own Quiz

Share on Facebook Share on Twitter Share on Whatsapp Share on Pinterest Share on Email Copy to Clipboard Embed on your website

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.

Rate this question:
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.

Rate this question:

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.

Rate this question:
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.

Rate this question:

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.

Rate this question:
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