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The true solution of the logarithmic equation [tex]\ln e^{\ln x} + \ln e^{\ln x^2} = 2\ln 8[/tex] will be 4.

Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.

The logarithmic equation is given as

[tex]\ln e^{\ln x} + \ln e^{\ln x^2} = 2\ln 8[/tex]

We know that the formula

[tex]\ln e = 1\\\\\ln b^a = a \ln b\\\\\ln a + \ln b= \ln a +b[/tex]

Then we have

[tex]\begin{aligned} \ln x \times \ln e + \ln x^2 \times \ln e = \ln 8^2\\\\\ln x + \ln x^2 = \ln 64\\\\\ln x*x^2 = \ln 64 \end{aligned}[/tex]

Then take antilog, then we get

[tex]\rm x^3 = 64\\\\x^3 = 4^3 \\\\x \ =4[/tex]

More about the logarithm link is given below.

https://brainly.com/question/7302008

Answer:

b, x=4

Step-by-step explanation:

edge 2022

So, the length of the side adjacent to angle β is approximately 17.15 cm. triangle Therefore, the closest option is 16.7 cm.

A triangle is a closed, double-symmetrical shape composed of three line segments known as sides that intersect at three places known as vertices. Triangles are distinguished by their sides and angles. Triangles can be equilateral (all factions equal), isosceles, or scalene based on their sides. Triangles are classified as acute (all angles are fewer than 90 degrees), good (one angle is equal to 90 degrees), or orbicular (all angles are higher than 90 degrees) (all angles greater than 90 degrees). The region of a triangle can be calculated using the formula A = (1/2)bh, where an is the neighbourhood, b is the triangle's base, and h is the triangle's height.

sin(β) = opposite/hypotenuse

[tex]hypotenuse^2 = adjacent^2 + opposite^2\\17.5^2 = adjacent^2 + opposite^2\\306.25 = adjacent^2 + opposite^2\\[/tex]

opposite = sin(β) x hypotenuse = 0.292 x 17.5 = 5.095 cm

[tex]306.25 = adjacent^2 + 5.095^2\\306.25 - 5.095^2 = adjacent^2\\294.81 = adjacent^2\\[/tex]

√294.81 = adjacent

So, the length of the side adjacent to angle β is approximately 17.15 cm. Therefore, the closest option is 16.7 cm.

To know more about triangle visit:

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Answer:

i think since p(x) = p(3)

Step-by-step explanation:

then p(3) = 3

where you see x add 3

so 1/2(x-5)^2 + 14

1/2(3-5)^2 + 14

1/2(-2)^2 + 14

1/2 x 4 + 14

cancel out 4 by 2 ( divide)

you get 2 + 14

16.

p(x) = 16.

Hope this helps .

sorry brain ly won't let me tell you I'm sorry

Answer:

Step-by-step explanation:

-15-9+(-7)

answer: A, -31.

hope this helps! mark me  brainliest as well please.

Answer:

-31

Step-by-step explanation:

you can subtract -15 and -9 which equals -24. After that, you can just subtract it by 7 . because +(-)= - so -15-9-7= -31

Answer:BC AND AD is parellogram since it has sides.

Step-by-step explanation:

Answer:

Step-by-step explanation:

starting from the upper right corner and going counterclockwise.

upper right: I

upper left: II

bottom left: III

bottom right: IV

The length of arc LMN is the number of units on the arc

The length of arc LMN is 14.2 cm

The given parameters are:

Start by calculating the length of arc MN using:

[tex]MN = \frac{\theta}{360} * 2\pi r[/tex]

So, we have:

[tex]MN = \frac{75}{360} * 2 * 3.14 * 6[/tex]

Evaluate the product

MN = 7.85

The length of arc LMN is then calculated using:

LMN = LM + MN

This gives

LMN = 6.3 + 7.85

Evaluate the sum

LMN = 14.15

Approximate

LMN = 14.2

Hence, the length of arc LMN is 14.2 cm

Read more about arc lengths at:

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Answer:

D ( 14.2 )

Step-by-step explanation:

edg 2022

Answer:

either 34 or 214

Step-by-step explanation:

Answer:

x = 8 - sqrt(y + 25)

Step-by-step explanation:

Step-by-step explanation:

comparing given equation with ax^2+bx+c;

a=1   b=-16   c=39

now,

x coordinate of vertex = -b/2a

                                      = 16/2*1

                                     = 8

again,

y coordinate of vertex = (8)^2-16(8)+39

                                       =-25

Therefore, the turning point is (8,-25).

Answer:

4% of 175,000 is 7,000

7,000x 5=35,000

175,000-42,000 equals 140,000 the value of the house

Step-by-step explanation:

1) 7x+3y=19

2)2x-7y=12

3) x=5, y=0

4) x=15/2, y=(-63/4)

5) x=9, y=92

6) x=(-2) , y=(-9)

7) x=5, y=(-2)

8) x=2, y=2

The mean of the data is 1.31, while the mean absolute deviation is 2.56.

The mean is the average of a data set, while the mean absolute deviation is the average distance of the each data point from the mean.

Given the data:

3,2,2,5,4,1,3,4,1,0,3,2,1,1,6,3

Find the Mean:

Mean = (3 + 2 + 2 + 5 + 4 + 1 + 3 + 4 + 1 + 0 + 3 + 2 + 1 + 1 + 6 + 3)/16 = 41/16 Mean = 2.5625

Find the Mean Absolute Deviation:

Mean abosolute deviation = (3 - 2.5625) + (2 - 2.5625) + (2 - 2.5625) + (5 - 2.5625) + (4 - 2.5625) + (1 - 2.5625) + (3 - 2.5625) + (4 - 2.5625) + (1 - 2.5625) + (0 - 2.5625) + (3 - 2.5625) + (2 - 2.5625) + (1 - 2.5625) + (1 - 2.5625) + (6 - 2.5625) + (3 - 2.5625) / 16

Mean abosolute deviation = 21/16 = 1.3125

Therefore, the mean of the data is 1.31, while the mean absolute deviation is 2.56.

Learn more about the mean absolute deviation on:

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Step-by-step explanation:

At a birthday party, teams for a game are chosen by putting everyone's name into a jar, and then choosing the names at random for each team

Answer:

r = [tex]\frac{C}{2\pi }[/tex]

Step-by-step explanation:

C = 2πr ( isolate r by dividing both sides by 2π )

[tex]\frac{C}{2\pi }[/tex] = r

Answer:

C. 4x = 52

Step-by-step explanation:

If each person spent $x,

then the total amount spent will be 4x

we already know that the total amount spent is 52

so, 4x = 52

Answer:

4x=52

Step-by-step explanation:

[tex]let \: the \: price \: for \: each \: ticket \: be = x \\ since \: four \: persons \: bought \: the \: ticket \: \\ 4x = 52 \\ the \: equation \: for \: each \: ticket \: will \: be \: \\ 4x = 52[/tex]

Answer:

5

Step-by-step explanation:

2+2+3+5=12

12/3=4

4 divided by 20 =5 glazed donuts

Answer:

I got the answer as h=8.184cm

Answer:

B

Step-by-step explanation:

The average is in the limits

Answer: sense happens

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given :-

To Find :-

Solution :-

Let's assume:

We know that,

↠ (x)(x + 2) = 80

↠ x² + 2x - 80 = 0

↠ x² + 2x - 80 = 0

↠ x² + 10x - 8x - 80 = 0

↠ x(x +10) -8 (x + 10) = 0

↠ (x-8) (x + 10) = 0

↠ x = 8 or -10

↠ x = 8

Hence,

Answer:

Given:-

To Find :-

Solution:-

According to the question ,

Area = 80m²

putting the known values ,

(X)(X+2) = 80m

x² +2x - 80= 0

x² +10x-8x -80m= 0

x(x + 10) - 8(x+10) = 0

(x-8) = 0 ; (x+10) = 0

X = 8 ; X = -10

Length = X + 2 ; 10 m

Width = X ; 8 m

Answer:

Superheroes are meant to inspire. They represent someone we are not, or someone that can do things that we can't. They can provide an escape into a world where someone is there for us even when our protectors or our medical and social institutions have let us down.

Answer:265

Step-by-step explanation: 2 cups is 16fluid Ounce, 7quaryz is 224 fluid ounce

Total will 265 fluid ounce (225+16+224)

Answer:80%

Step-by-step explanation:8/10×100