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Flura [38]
3 years ago
9

Write the expression 3 log(x-2)+log(x+2)-log(x^2-4) as a single logarithm.

Mathematics
1 answer:
Margarita [4]3 years ago
6 0

3 \log(x-2)+\log(x+2)-\log(x^2-4) = 3 \log \frac{(x-2)(x+2)}{(x^2-4)}=\\=3 \log \frac{(x^2-4)}{(x^2-4)}=3\log 1= \log 1^3 = \log 1 = 0

to answer with a single logarithm: log 1, and the value is 0

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The perimeter of an equilateral triangle is 6n-15 . Write an expression to represent the length of each side.
jonny [76]

Answer:we know that all 3 sides are equal

so if side =a

then perimeter =3a

therefore

3a=6n-15

a=6n-15/3

a=2n-5

4 0
3 years ago
Three angles of an irregular octagon are 100 degrees, 120 degrees, and 140 degrees. The remaining angles are congruent. Find the
STatiana [176]

Answer:

144°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° × (n - 2) ← n is the number of sides

Here n = 8 ( octagon ), hence

sum = 180° × 6 = 1080°

let the measure of 1 congruent angle be x

Then sum the 8 angles and equate to 1080

100 + 120 + 140 + 5x = 1080

360 + 5x = 1080 ( subtract 360 from both sides )

5x = 720 ( divide both sides by 5 )

x = 144

Thus each of the 5 congruent angles is 144°

7 0
3 years ago
Grade 4c left their school at7:30 am for their trip to the market. They return at 10:45 am how much time did they spend on the t
SOVA2 [1]
3:15

Step by step explanation:

10:45
-7:30
———
3:15
6 0
2 years ago
HELP NOW II WILL GIVE YOU 30 POINTS
Alex

Answer:

1; -11+ 26 =15

2: 2- (-3) =5

3: 10+ (-4) = 7

4: 11 + -8 =3

5: -2 + 3 =1

6:  8 - 12 = -4

Step-by-step explanation:

!

5 0
3 years ago
The bananas are $.15 per pound and I want to buy 4 pounds, how much would I pay
Paladinen [302]
$.75 bc 15 x 4 is 75 so that would make 75¢ or $.75
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2 years ago
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