Ulangan Harian Logaritma

1. Harga dari ^alog b . ^b log c . ^c log d ialah …

a log d

d log a

log a - log d

log d - log a

log a. log d

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.

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.

2. Log 3 = 0,477 dan log 5 = 0,699 maka log 45 adalah …

1,176

1,477

1,653

1,875

1,978

not-available-via-ai

Explanation

not-available-via-ai

3.

8 ab

15 ab

a2 b5

3a + 5b

5a + 3b

not-available-via-ai

Explanation

not-available-via-ai

4.

not-available-via-ai

Explanation

not-available-via-ai

5.

sama dengan...

8

6

4

2

1

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.

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.

6.

-6

6

not-available-via-ai

Explanation

not-available-via-ai

7.

-2

-1

0

1

2

not-available-via-ai

Explanation

not-available-via-ai

8.

b = 3d

b = d 3

not-available-via-ai

Explanation

not-available-via-ai

9.

x < 2

x > 1

x < 1 atau x > 2

0 < x < 2

1 < x < 2

not-available-via-ai

Explanation

not-available-via-ai

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

0,770

0,903

0,770 – 1

0,903 – 1

1

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.

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.

11.

{-10}

{-8}

{-7}

{-6}

{-4}

not-available-via-ai

Explanation

not-available-via-ai

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

8

6

5

4

3

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.

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.

13.

10

6

2

0

-2

not-available-via-ai

Explanation

not-available-via-ai

14.

6

8

10

12

15

not-available-via-ai

Explanation

not-available-via-ai

15. Jika log 2 = 0,301 dan log 3 = 0,477, maka

log space cube root of 225

adalah …

0.714

0.734

0.756

0.778

0.784

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.

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.