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LenKa [72]
4 years ago
14

Write log (x^2-9) - log(x+3) as single logarithm.

Mathematics
1 answer:
Hoochie [10]4 years ago
5 0

Answer:log(x-3)

Step-by-step explanation:

log(A)-log(B) is log(A/B) then this would be log[(x^2-9)/(x+3)]

x^2-9 is (x-3)(x+3) then the answer is log(x-3)

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While working at the drugstore, Sam earns $9 per hour. How many hours will it take Sam to earn $18? Write your result in the spa
Goryan [66]

Answer:

2 hours

Step-by-step explanation:

Each hour, Sam earns $9

So 2 hours, Sam will earn 2 * $9 = $18

Thus, Sam will earn $18 in 2 hours working at the drugstore.

3 0
4 years ago
A tall tree has a shadow that measures 40 feet. Next to the tree is a man whose shadow measures 4
o-na [289]
<h3>The height of the tree is 55 feet</h3>

<em><u>Solution:</u></em>

Let,

Height of tree = x

Shadow of tree = 40 feet

Height of man = 5.5 feet

shadow of man = 4 feet

Set up a proportion comparing the height of each object to the length of the shadow.

\frac{\text{ Height of tree}}{\text{ Shadow of tree }} = \frac{\text{ Height of man}}{\text{ shadow of man }}

Therefore,

\frac{x}{40} = \frac{5.5}{4}\\\\x = 5.5 \times 10\\\\x = 55

Thus height of the tree is 55 feet

3 0
3 years ago
Solve each equation.SHOW work plz
Studentka2010 [4]
3 \frac{1}{2} r = 28 \\  \frac{7}{2} r = 28 \\  \frac{ \frac{7}{2} }{ \frac{7}{2} } r =  \frac{28}{ \frac{7}{2} }  \\ r =  \frac{ \frac{56}{2} }{ \frac{7}{2} }  \\ r= \frac{56}{7}

1 \frac{1}{2} c =6 \\  \frac{3}{2} c= \frac{12}{2}  \\  \frac{ \frac{3}{2} }{ \frac{3}{2} } c= \frac{ \frac{12}{2} }{ \frac{3}{2} }  \\ c= \frac{ \frac{12}{2} }{ \frac{3}{2} } = \frac{12}{3} =4 \\ c=4

7 0
4 years ago
Solve for x, UV and TV​
stira [4]

We know that TV = TU + UV. Let's plug the values from the picture into our equation.

x + 25 = 9 + 2x + 28.

Let's combine like terms on the right side.

x + 25 = 2x + 37

Subtract 37 and x from both sides.

-12 = x

TV = x + 25 = -12 + 25 = 13

UV = 2x + 28 = 2(-12) + 28 = -24 + 28 = 4

8 0
3 years ago
If m&lt;6 = (3x-13)° and m&lt;8 = (2x-5°), what is the value of x
mestny [16]

Answer:

<h2>The value of x is 8.</h2>

Step-by-step explanation:

We know that m\angle 6 = m \angle 8

Each angle is defined as

m\angle 6 = 3x-13 and m \angle 8 =2x-5

Replacing all in the first equation, we have

3x-13=2x-5\\3x-2x=13-5\\x=8

Therefore, the value of x is 8.

6 0
3 years ago
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