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bulgar [2K]
4 years ago
7

Log3x + log3(x2 + 2) = 1 + 2log3x

Mathematics
1 answer:
AnnZ [28]4 years ago
7 0

Answer:

x = 1 , 2.

Step-by-step explanation:

I am assuming these are logs to the base 3.

log3 x + log3 (x^2 + 2) = 1 + 2log3x

-log3 x + log3 (x^2 + 2) = 1

log3 [ (x^2 + 2) / x] = 1            NOTE: 1 = log3 3, so:

log3 [(x^2 + 2) / x] = log3 3

(x^2 + 2) / x = 3

x^2 - 3x + 2 = 0

(x - 1)(x - 2) = 0

x = 1 , 2.

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Find the scale factor of the figures below from left to right given the volume of each .
Fudgin [204]
<h3>Answer is choice D)  5:3</h3>

Explanation:

The volumes are in the ratio 3625:783 which reduces fully to 125:27 after dividing both parts by the GCF 29.

Both 125 and 27 are perfect cubes because 125 = 5^3 and 27 = 3^3

Therefore, the volume ratio 125:27 turns to the linear scale factor ratio 5:3

If you were to cube both sides of the linear ratio 5:3, you would get the volume ratio 125:27. Cube rooting both sides will have you go in reverse.

6 0
3 years ago
Noah stood 55 2/3 inches tall on his tenth birthday. If he stood 58 1/2 inches on his 11th birthday, how much taller has Noah gr
Dima020 [189]

Answer:

2 5/6 inches

Step-by-step explanation:

58 1/2 to 58 3/6

55 2/3 to 55 3/6

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subtract

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8 0
3 years ago
Which equation determines d, the cost in dollars to clean r rooms?
noname [10]

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Step-by-step explanation:

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4 0
3 years ago
PLEASE PLEASE HELP ME
artcher [175]

Answer:

Is the line going through negative dot or positive? Think about it.

Step-by-step explanation:

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3 0
3 years ago
The length of a rectangle is 4 less than twice the width. The perimeter of the rectangle is 106 cm. Determine the length of the
horsena [70]

Answer:

Length = 34

Step-by-step explanation:

Perimeter of rectangle = a+a+b+b = 2(a+b)

Let a = length = 2b - 4

Let b = width

Therefore

(2b-4) + (2b-4) + b + b = 106 cm

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Collect like terms

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2(19) - 4

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4 0
3 years ago
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