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Anna [14]
3 years ago
9

Solve the logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expressio

ns. Give the exact answer
In (x - 2) - In (X + 8) = In (x - 1) - In (x + 12)
Rewrite the given equation without logarithms. Do not solve for x
Solve the equation to find the solution set. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution set is { }
(Type an integer or a simplified fraction Use a comma to separate answers as needed)
OB. There are infinitely many solutions
O C. There is no solution
Mathematics
2 answers:
Sidana [21]3 years ago
8 0

9514 1404 393

Answer:

  x = 16/3

Step-by-step explanation:

a) The rewritten equation is ...

  \dfrac{x-2}{x+8}=\dfrac{x-1}{x+12}

__

b) The solution can be found as ...

  \dfrac{x-2}{x+8}-\dfrac{x-1}{x+12}=0\\\\(x-2)(x+12)-(x+8)(x-1)=0 \qquad\text{numerator of the difference}\\\\(x^2+10x-24)-(x^2+7x-8)=0\\\\3x-16=0\qquad\text{simplified}\\\\x=\dfrac{16}{3}\qquad\text{one solution}

The solution set is {16/3}.

_____

The applicable rule of logarithms is ...

  log(a) -log(b) = log(a/b)

Crank3 years ago
3 0

Answer:

the answer is x=16/3

Step-by-step explanation:

:))

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Can you guys help please
BabaBlast [244]
30+10 =40
Divide it by 2 (you always divide a number by 2 if you want to find the average), 40/2 = 20. So 20mph
3 0
2 years ago
Based on the information in the diagram, can you prove that the figure is a parallelogram?
NARA [144]

Answer:

yes,two opposite sides are both parallel and congruent

8 0
2 years ago
What is the area of this figure?
Whitepunk [10]

The area of the composite figure = area of square + area of triangle + area of rectangle = 58.5 ft²

<h3>What is the Area of the Composite Figure?</h3>

Area of the composite figure = area of square + area of triangle + area of rectangle = s² + 1/2(bh) + lw

Given the following:

  • s = 3 ft
  • b = 11 ft
  • h = 3 ft
  • l = 11 ft
  • w = 3 ft

Area of the composite figure = (3²) + 1/2(11)(3) + (11)(3)

Area of the composite figure = 58.5 ft²

Learn more about the area of a composite figure on:

brainly.com/question/8408690

3 0
2 years ago
Bob bought a broken motor scooter, repaired it, and sold the scooter for $130. That was $50 less than 1.5 times what he paid for
FromTheMoon [43]

Answer: $120

Step-by-step explanation:

Assume the original price is x.

He sold the scooter for $130 and this was $50 less than 1.5 times what he paid for it.

Relevant formula is therefore:

1.5x - 50 = 130

1.5x = 130 + 50

x = 180/1.5

x = $120

4 0
2 years ago
In the equation a= 3/b is a positive, real number. As the
Igoryamba

Answer:

<h3>The value of a tends to zero</h3>

Step-by-step explanation:

Given the expression a = 3/b

as the denominator of the of the expression b increases the value of the output is known to be decreasing. if the value of b now goes so large to become an infinite, value then the value of a will goes to zero as shown;

If b = ∞

a = 3/∞

a = 0

Note that for any constant value a, the ratio a/∞ will always tends to zero

7 0
3 years ago
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