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ladessa [460]
3 years ago
8

Which is the solution for log(3x - 1) + log 2 = log 4 + log (x + 2) ?​

Mathematics
2 answers:
Lemur [1.5K]3 years ago
6 0

Answer:x=1

Step-by-step explanation:

log(3x-1)+log2=log4+log(x+2)

log(2(3x-1))=log(4(x+2))

Cancel log on both sides

2(3x-1)=4(x+2)

Open brackets

6x-2=4x+8

Collect like terms

6x-4x=8+2

10x=10

Divide both sides by 10

10x/10=10/10

x=1

11Alexandr11 [23.1K]3 years ago
3 0

Answer:

x=5

Step-by-step explanation:

log(3x-1)+log2=log4+log(x+2)

log(2(3x-1))=log(4(x+2))

Cancel log on both sides

2(3x-1)=4(x+2)

Open brackets

6x-2=4x+8

Collect like terms

6x-4x=8+2

2x=10

Divide both sides by 2

2x/2=10/2

x=5

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Given the values of the linear functions f (x) and g(x) in the tables, where is (f – g)(x) positive?
LuckyWell [14K]

From the tables, and definitions of functions, it is found that the function (f - g)(x) is positive in the interval (–∞, –2).

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  • The function (f - g)(x) is given by: (f - g)(x) = f(x) - g(x)
  • Thus, it will be positive if: f(x) > g(x)
  • Looking at the table, and considering that it is a linear function, we have that f(x) > g(x) if x < -2.
  • Thus, (f - g)(x) is positive in the interval (–∞, –2).

A similar problem is given at brainly.com/question/24388889

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2 years ago
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masha68 [24]

Answer:

The answer is 114 degrees.

Step-by-step explanation:

Since the angles are opposite from each other, it will be the same degrees.

6 0
3 years ago
A rectangle has an area of 182 square meters and a base of 14 meters. What is the height?
katrin2010 [14]

Answer:

2488

Step-by-step explanation:

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A farmer plans to build the small silo shown to store chicken feed. What is the circumference of the base of the silo if it can
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Round 10.95 to the nearest tenth
Serhud [2]

Hi there! To round 10.95 to the nearest tenth, we find the number in the tenth place, which is 9 and look one place to the right. Round up if the number is greater than 5 or equal to 5 and round down if its less than 5.

The answer is 11.0 or just 11.

<em>Ed: Explanation below.</em>

<em />

11.00

10.99

10.98

10.97

10.96

10.95 Look at the 9. Then look to the right. Do I round up or down?

10.94

10.93

10.92

10.91

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If the number is greater or equal to 5, you round up. If the number is smaller than 5, you round down. 9 is greater than 5, so we round up.

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3 years ago
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