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4 years ago

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