What is the true solution to the equation below?

l n e Superscript l n x Baseline + l n e Superscript l n x squared Baseline = 2 l n 8
x = 2

Given:

The equation is:

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

To find:

The solution for the given equation.

Solution:

We have,

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

It can be written as:

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

[tex]\ln (x\cdot x^2)=2\ln 8[/tex]              [tex][\because \ln a+\ln b=\ln (ab)][/tex]

[tex]\ln (x^3)=\ln 8^2[/tex]         [tex][\because \ln x^n=n\ln x ][/tex]

On comparing both sides, we get

[tex]x^3=8^2[/tex]

[tex]x^3=64[/tex]

Taking cube root, we get

[tex]x=\sqrt[3]{64}[/tex]

[tex]x=4[/tex]

Therefore, the required solution is [tex]x=4[/tex].

Answer:

x=4

Step-by-step explanation:

What is the true solution to the equation below?

ln e Superscript ln x Baseline + ln e Superscript ln x squared Baseline = 2 ln 8

x = 2

x = 4

x = 8

The correct and best answer will be marked as brainiest

Sara is working on a Geometry problem in her Algebra class. The problem requires Sara to use the two quadrilaterals below to answer a list of questions.



Part A: For what one value of are the perimeters of the quadrilaterals the same? (Hint: The perimeter of a quadrilateral is the sum of its sides.)

Part B: For what one value of are the areas of the quadrilaterals the same? (Hint: The area of a quadrilateral is the product of its base and height.)

at the market, a housewife bought 2 kilograms of eddoes at $5 per kilogram and 5 kilograms of chicken at $10 per kilogram. she paid that market vendor $75. how many dollar does she owe the vendor​

Which are the roots of the quadratic function f(q) = 92 – 125?

if side of square is 4.05 find its area ​

¿Pueden ayudarme por favor?

Select the correct answer from the drop-down menu.
The measure of the angle between the two sides of the roof is approximately
A. 95.8
B. 91.2
C. 92.9

Please help with problem

Identify the level of measurement (nominal, ordinal, or interval-ratio) of each of the following variables: (1) How satisfied a person is with his or her employment benefits, measured as very satisfied, somewhat satisfied, neither satisfied nor dissatisfied, somewhat dissatisfied, or very dissatisfied. (2) The number of times someone has shoplifted in her or his life. (3) The number of times someone has voted in a public election measured as 0-1 times, 2-3 times, or 4 or more times. (4) The type of attomey a criminal defendant has attrial, measured as privately retained or publicly funded.

write the equation of the line shown in the graph above in slope-intercept form

A student has test scores of 75 and 82respectively. What is the student’s average score for a third test

jenny has 3 cherry candies and 3 orange candies. She takes out 2 candies without looking.What is the probability in fractions that both are cherry?

Bob had 10 more cars than Paul. Paul had 15 cars.

x(x-y) - y( x- y) simplify ​

So for this problem I got the scientific notation however I can not seem to figure out the standard notation. I thought it is the same answer but it is not. Can someone please help me out here please?

How many solutions does the nonlinear system of equations graphed below
have?
A. One
B. Four
C. Two
D. Zero

expand and simplify (x-2)(x+5)(2x-1)​

Is this right?? If not please tell me the answers

NO LINKS OR ANSWERING WHAT YOU DON'T KNOW?

1. Suppose y varies inversely with x, and y = 25 when x = 1/5. What is the value of y when x = 5?

a. 15
b. 5
c. 25
d. 1

2. Suppose y varies inversely with x, and y = a when x = a^2. What inverse variation equation related x and y?

a. y = a^2/x
b. y = a^3/x
c. y= a^3x
d. y = ax

3. Suppose y varies inversely with x, and y = 3 when x = 1/3. What is the inverse variation equation that relates x and y?

a. y = 1/x
b. y =x
c. y = 3x
d. y = 3/x

Myrtle Air Express decided to offer direct service from Cleveland to Myrtle Beach. Management must decide between a full-price service using the company’s new fleet of jet aircraft and a discount service using smaller capacity commuter planes. It is clear that the best choice depends on the market reaction to the service Myrtle Air offers. Management developed estimates of the contribution to profit for each type of service based upon two possible levels of demand for service to Myrtle Beach: strong and weak. The following table shows the estimated quarterly profits (in thousands of dollars):
Demand for Service
Service Strong Weak
Full price $960 -$490
Discount $670 $320
1. What is the decision to be made, what is the chance event, and what is the consequence for this problem?
2. How many decision alternatives are there?
Number of decision alternatives =
3. How many outcomes are there for the chance event?
Number of outcomes =
4. If nothing is known about the probabilities of the chance outcomes, what is the recommended decision using the optimistic, conservative, and minimax regret approaches?
a. Optimistic approach
b. Conservative approach
c. Minimax regret approach

Công ty T vừa đưa vào sản xuất một loại sản phẩm mới với định mức giờ máy là 2 giờ/sản phẩm. Tài liệu về sản phẩm trong năm như sau (đồng):


Chi phí nguyên vật liệu trực tiếp/sp

30.000

Chi phí nhân công trực tiếp/sp

27.000

Chi phí sản xuất chung/sp

12.000(25% là biến phí)

Bao bì/sp (ở khâu SX)

5.000

Lương quản lý và bán hàng

83.300.000

Quảng cáo

34.700.000

Chí phí khác bằng tiền

30.000.000

Vốn đầu tư bình quân

1.200 triệu

ROI mong muốn

16%

Tổng số giờ máy hoạt động cho sản xuất

40.000 giờ


Yêu cầu:

1. Hãy định giá bán theo biến phí?

2. Để sản xuất sp mới này, Cty tự chế tạo 1 chi tiết để lắp vào sản phẩm với thông tin như sau:

- Biến phí sản xuất của Chi Tiết = 40% biến phí sp

- KH TSCĐ cho việc sản xuất chi tiết là 42.000.000đ

- Chi phí quản lý chung phân bổ cho việc sản xuất chi tiết là 19.040.000đ.

Có một doanh nghiệp khác đến chào hàng chi tiết với giá chỉ bằng 70% so với giá thành cty tự sản xuất và đảm bảo đủ số lượng, chất lượng theo yêu cầu. Các phương tiện sản xuất chi tiết có thể cho thuê 13.000.000đ/năm. Cty nên tự sản xuất hay mua ngoài?

what is 3/2 divided by 1/8

helppp​

Point Q is the centroid of △ABC. QF = _____ centroid

Which set of statements shows the correct steps to find 45 percent of 75?

A.
Write 45 percent as 9 ´ 5 percent, and write 5 percent as StartFraction 1 Over 20 EndFraction. Then, find StartFraction 1 Over 20 EndFraction of 75: 75 times StartFraction 1 Over 20 EndFraction = StartFraction 75 Over 20 EndFraction = 3.75. Multiply 3.75 by 9 to get 33.75. So, 45 percent of 75 is 33.75.
B.
Write 45 percent as 9 ´ 5 percent, and write 5 percent as One-half. Then, find One-half of 75: 75 times one-half = StartFraction 75 Over 2 EndFraction = 33.75. Multiply 33.75 by 9 to get 303.75. So, 45 percent of 75 is 303.75.
C.
Write 45 percent as StartFraction 1 Over 45 EndFraction. Then, find StartFraction 1 Over 45 EndFraction of 75: 75 times StartFraction 1 Over 45 EndFraction = StartFraction 75 Over 45 EndFraction = 1.67. So, 45 percent of 75 is 1.67.
D.
Write 45 percent as StartFraction 1 Over 4.5 EndFraction. Then, find StartFraction 1 Over 4.5 EndFraction of 75: 75 times StartFraction 1 Over 4.5 EndFraction = StartFraction 75 Over 4.5 EndFraction = 16.7. So, 45 percent of 75 is 16.7.

The quadrilateral KLMN is dilated with the center of dilation located at point M. Which statement is accurate?
1. The scale factor is 3, which means the length of the image of segment KL will be 1/3 times as long.

2. The scale factor is 1/3, which means the length of the image of segment KL will be 1/3 times as long.

3. The scale factor is 3, which means the length of the image of segment KL will be 3 times as long.

4. The scale factor is 1/3, which means the length of the image of segment KL will be 3 times as long.

URGENT PLS HELP

Given f(y)=2y^2 - 4y, and h(x)= x^2 - 1, determine f(h(x))

For P = {5, 12, 13, 14), Q = {2, 7, 11), and R = {4, 7, 8, 11}, find PU (Q n R).

Can any one you help me with this ?

Find x. Simplify completely.
X
9
25
x = [?]

Find the distance between the two points in simplest radical form. (8,−8) and (−1,−5)