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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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An apartment complex on Ferenginar with 250 units currently has 223 occupants. The current rent for a unit is 892 slips of Gold-
Triss [41]

Answer:

Step-by-step explanation:

Given data

Total units = 250

Current occupants = 223

Rent per unit = 892 slips of Gold-Pressed latinum

Current rent = 892 x 223 =198,916 slips of Gold-Pressed latinum

After increase in the rent, then the rent function becomes

Let us conside 'y' is increased in amount of rent

Then occupants left will be [223 - y]

Rent = [892 + 2y][223 - y] = R[y]

To maximize rent =

\frac{dR}{dy}=0\\=2(223-y)-(892+2y)=0\\=446-2y-892-2y=0\\=-446-4y=0\\y=\frac{-446}{4}=-111.5

Since 'y' comes in negative, the owner must decrease his rent to maximixe profit.

Since there are only 250 units available;

y=-250+223=-27\\\\maximum \,profit =[892+2(-27)][223+27]\\=838 * 250\\=838\,for\,250\,units

Optimal rent - 838 slips of Gold-Pressed latinum

8 0
3 years ago
bone-shaped treats are five for 3:50 at Shelly store in Sarah wants to buy 12 she set up and solve this proportion to find how m
Valentin [98]

Answer:

8.4 dollars

Step-by-step explanation:

The error is in the resolution of the proportion. In fact, the initial proportion is correct:

\frac{5}{3.5}=\frac{12}{x}

where x is the total cost. However, the following step of the resolution is wrong. In fact, the correct resolution is the following:

- Multiplying by x on both sides:

\frac{5x}{3.5}=12

- Multiplying by 3.5 no both sides:

5 x = 12 \cdot 3.5 \\5x = 42

And now we can find x:

x=\frac{42}{5}=8.4

So, the total cost is 8.4 dollars.

3 0
3 years ago
Read 2 more answers
I need 43 and 44, and I already got x for 43, I just need y. My teacher said one of these problems doesn't have enough informati
sineoko [7]
Well if your having trouble you should stay after school and ask for help that's what I would do.
8 0
3 years ago
A function is defined by f(x) = 3x+ 1 What is f(10)?
swat32

Answer:

c) 31

Step-by-step explanation:

Given: f(x) = 3x + 1

We are being asked to find the function's value for x = 10.

Substitute 10 as the value of x in the function:

⇒ f(x) = 3x + 1

⇒ f(10) = 3(10) + 1

⇒ f(10) = 30 + 1

⇒ f(10) = 31

Therefore, the function's value at x = 10 is 31.

Learn more here:

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3 0
2 years ago
Read 2 more answers
What steps would you follow in order to solve the equation?
Ira Lisetskai [31]

Answer:

<h2>128</h2>

Step-by-step explanation:

Step one:

given the expression w/8 - 4 = 20

the first operation is to isolate the term that has w by adding 4 to both sides

w/8 - 4+4 = 20+4

w/8 = 16

Required

the value of w

Step two:

the next step is to cross multiply

w=16*8

w=128

6 0
3 years ago
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