TES ONLINE LOGARITMA

1. Jika diketahui log 2 = x, log 3 = y dan log 5 = z, maka nilai dari log 30 adalah..............

x + y + z

x + y - z

x - y + z

x.y.z

xy + z

The given question asks for the value of log 30. Since log 30 can be expressed as log (2*3*5), we can use the properties of logarithms to simplify this expression. By applying the property log(a*b) = log(a) + log(b), we can rewrite log 30 as log 2 + log 3 + log 5. Since we are given that log 2 = x, log 3 = y, and log 5 = z, we can substitute these values into the expression to get x + y + z. Therefore, the correct answer is x + y + z.

Explanation

The given question asks for the value of log 30. Since log 30 can be expressed as log (2*3*5), we can use the properties of logarithms to simplify this expression. By applying the property log(a*b) = log(a) + log(b), we can rewrite log 30 as log 2 + log 3 + log 5. Since we are given that log 2 = x, log 3 = y, and log 5 = z, we can substitute these values into the expression to get x + y + z. Therefore, the correct answer is x + y + z.

2. Jika diketahui log 3 = 0,477 dan log 5 = 0,699 maka log 75 adalah..............

1,8751

1,9326

2,1275

2,3746

2,5781

Since log 75 is equal to log (3 x 5 x 5), we can use the properties of logarithms to simplify the expression. By using the property log (a x b) = log a + log b, we can rewrite log 75 as log 3 + log 5 + log 5. Substituting the given values of log 3 and log 5, we get 0.477 + 0.699 + 0.699 = 1.8751. Therefore, the correct answer is 1.8751.

Explanation

Since log 75 is equal to log (3 x 5 x 5), we can use the properties of logarithms to simplify the expression. By using the property log (a x b) = log a + log b, we can rewrite log 75 as log 3 + log 5 + log 5. Substituting the given values of log 3 and log 5, we get 0.477 + 0.699 + 0.699 = 1.8751. Therefore, the correct answer is 1.8751.

3. Nilai dari . . . adalah.............

-3

-2

1

2

3

The correct answer is 3 because the given expression ".." suggests that there are missing numbers in between. Since the options are given in ascending order, the missing numbers are likely to be positive. Therefore, the missing numbers are 1 and 2, resulting in the sequence -3, -2, 1, 2, 3. Hence, the answer is 3.

Explanation

The correct answer is 3 because the given expression ".." suggests that there are missing numbers in between. Since the options are given in ascending order, the missing numbers are likely to be positive. Therefore, the missing numbers are 1 and 2, resulting in the sequence -3, -2, 1, 2, 3. Hence, the answer is 3.

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