Solve for X

[tex]lnx^{2} =-2[/tex]

please show steps

I have the answer,

I just want to know how to do this :)

Answers

Answer 1

Answer:

[tex]x = \pm e^{-1}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Algebra I

Solving quadraticsMultiple roots

Algebra II

LogarithmsEuler's number e

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle ln(x^2) = -2[/tex]

Step 2: Solve for x

Raise both sides by e:                    [tex]e^{\displaystyle ln(x^2)} = e^{-2}[/tex]Simplify equation:                           [tex]x^2 = e^{-2}[/tex]Square root both sides:                 [tex]x = \pm e^{-1}[/tex]
Answer 2

Answer:

Step-by-step explanation:

lnx^n=nlnx

[tex]\ln x^2=-2\\2\ln x=-2\\\\\ln x=-1\\\\x>0\\x=e^{-1}\\or~x=\frac{1}{e}[/tex]


Related Questions

Mika has a goal of folding at least 120 paper swans. He can fold 12 paper swans per hour. Which inequaility can Mika use to find h, the number of hours he should fold paper swans to meet or exceed his goal?

Answers

Answer: it would take him 10 hours to make 120 paper

Evaluate
2-8÷-2-3-12÷-6×-2

Answers

Answer:

7

Step-by-step explanation:

2-8÷-2-3-12÷-6×-2

2 - -4 - 3 - 2 x -2

2 + 4 + -3 - -4

6 + -3 + 4

3 + 4

7 :)

A group of friends were working on a student film. They spent $256 on equipment, which was 32% of their total budget. What was the total budget for their student film?

Answers

the total budget for their student film is $337.92

Answer:

800

Step-by-step explanation:

I got it correct on delta math.

PLEASE ANSWER QUICKLY!

Answers

Answer:

D

Step-by-step explanation:

Answer

24481232

Step-by-step explanation: all you gtta do is do this do your work

URGENT! Can someone please help me?​

Answers

Answer:

An equation of the circle with centre (5,7) and radius 2 is [tex]\mathbf{(x-5)^2+(x-7)^2=4}[/tex]

Option A is correct.

Step-by-step explanation:

A circle in the xy-plane has centre (5,7) and radius 2. Which of the following is an equation of the circle.

The equation of circle is of form: [tex](x-h)^2+(x-k)^2=r^2[/tex] where (h,k) is centre and r is radius.

We have centre (5,7) so, we have h = 5 and k = 7

We have radius = 2 so, r = 2

Putting values in the equation and finding the required equation:

[tex](x-h)^2+(x-k)^2=r^2\\(x-5)^2+(x-7)^2=(2)^2\\(x-5)^2+(x-7)^2=4[/tex]

So,  an equation of the circle with centre (5,7) and radius 2 is [tex]\mathbf{(x-5)^2+(x-7)^2=4}[/tex]

Option A is correct.

There are 32 students on a large bus, and the rest are on a smaller bus. If 30% of the students are on the smaller bus, how many total students are on the two buses?

Answers

Answer:

46 total

Step-by-step explanation:

32 on large bus

30% on small bus

32 =70%

100%=32/70 x(100)=46

Find the value of θ in radius

Answers

Step-by-step explanation:

the answer is explained above

WILL MARK BRAINLIST!!! only for correct answer
NEED CORRECT ANSWER ASAPPP

Answers

Answer:

C.11

Step-by-step explanation:

By drawing the line of best fit (using the other points) you can estimate how long 14 rows will take, which is 11 minutes.

Ouglas made 122 dollars by washing cars to buy holiday presents. He decided to spend m dollars on a present for his mom and then use the remainder to buy presents for each of his 5 sisters. He will spend the same amount on each sister. Which expression represents how much he can spend on each sister?

Answers

And that’s the answer you need to stop being mean to me

VOTING BRAINLIEST 10 POINTS! Rectangle PQRS and its side lengths are shown in the figure.

Which side lengths belong to a rectangle that is NOT similar to rectangle PQRS?
A. 4.5 ft by 3 ft
B. 13.5 ft by 9 ft
C. 6 ft by 4 ft
D. 12 ft by 9 ft

Answers

Answer:

its 100% d.)

Step-by-step explanation:

plz mark me

FIRST ANSWER GETS BRAINLIEST!!!

Alistair Inc. shipped 32 packs of batteries to a retail store. Regular packs contain four batteries each, and super packs contain six batteries. A total of 166 batteries were shipped. How many regular packs were sent?

Answers

Answer:

Number of regular packs sent = 13

Step-by-step explanation:

Let,

x be the number of regular packs shipped

y be the number of super packs shipped

According to given statement;

x+y=32     Eqn 1

4x+6y=166    Eqn 2

Multiplying Eqn 1 by 4

4(x+y=32)

4x+4y=128     Eqn 3

Subtracting Eqn 3 from Eqn 2

(4x+6y)-(4x+4y)=166-128

4x+6y-4x-4y=38

2y=38

Dividing both sides by 2

[tex]\frac{2y}{2}=\frac{38}{2}\\y=19[/tex]

Putting y=19 in Eqn 1

x+19=32

x=32-19

x= 13

Hence,

Number of regular packs sent = 13


solve the equation by completing the square.

4x(x + 6) = -40​

Answers

Answer:

x = -6+-odmocnina36-40/2

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

10 times -4 is -40 since if you multiply a negative number by a positive you get a negative

GIVING THE BRIANLEIST FOR THE CORRECT ANSWER TO HELP ME WITH MY QUESTIONS!!!
1.





you have a recipe that requires 1/3 ​​ cup of sugar, but you only want to make a fourth of the recipe. How much sugar do you need to make this fraction of the recipe?



1/12 Cups


7/12 Cups


3/4 Cups


4/3 Cups

-------------------------------------------------------------------------------------------------------------------

2.


You have half a cake left after a party, and you want to split it into 4 pieces. What fraction of the original cake is each slice?


1/8


1/4


1/2


2/1

------------------------------------------------------------------------------------------------------------------

3.

Your class of 32 students is divided into fourths to create groups to answer a set of questions together. Then, one-fourth of each group has to go to the front of the classroom and read off the group's answers. How many students go up to the classroom for each group?


2


4


6


8




SHOW YOUR WORK PLSSSSS

Answers

Answer:

2

Step-by-step explanation:

32 divided by 4 is 8

1/4 of 8= 2

help pls!! i will give you brainliest

Answers

Answer:

x=2

Step-by-step explanation:

Answer:

y is less than or equal to 2

Step-by-step explanation:

the shading area is under Y=2

75 points! Will mark brainliest! Only answer if you know it! Random answers will be reports because I’m trying to get the true real answer :)

Answers

Answer:

y=1/2x

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula y−y1=m(x−x1) to find the line parallel to y=1/2x−8

I know this isn't much but please don't report me. I got this answer ):

Answer:

y = [tex]\frac{1}{2}[/tex]x + 8

Step-by-step explanation:

Since lines that are parallel to each other must have the same gradient,

m = [tex]\frac{1}{2}[/tex]

Convert the equation `8x-4y=24` into slope intercept form. SHOW WORK TO SUPPORT.

Answers

8x-4y=24

sub 8x from both sides

-4y=24-8x

sub 24

-4y-24=-8x

add -4y

-24=4y=8x

Answer:

y=2x-6

Step-by-step explanation:

First isolate the variable. You're trying to find y, so you need to ultimately leave y by itself.

8x-4y=24

Subtract 8x from both sides to cancel out the 8.

You should have the equation below left:

-4y= -8x+24

Now, divide everything by negative for so that you are only left with the y.

You should have the equation below left.

y=2x-6

I hope this helped:)

Rick is planting a garden in the shape of a semi-circle. He wants to pour top soil over the garden. Approximately how many square feet does he need to cover in soil?

Answers

Answer:

The equation of a line in the slope intercept form is expressed as

y = mx + c

Where

m represents slope

c represents y intercept

The formula for determining slope is expressed as

Slope, m = (y2 - y1)/(x2 - x1)

From the points given,

x1 = 0, y1 = 4

x2 = 2, y2 = 10

Slope, m = (10 - 4)/(2 - 0) = 6/2

Slope = 3

We would determine the y intercept, c by substituting m = 3, x = 0 and y = 4 into the slope intercept equation. It becomes

4 = 3 * 0 + c

c = 4

Thus, the equation of the line would be

y = 3x + 4

Simplify the expression:
4x2 + 9x + 14 + 4x2 - 2x

ASAP PLEASEEEEEEE

Answers

Answer:

8x²+7x+14

Step-by-step explanation:

4x²+4x²= 8x²

9x-2x= 7x

14=14

8x²+7x+14

hope it helps! please mark me brainliest

thank you! have a good day ahead

Please help
Need working for 2 and 3

Answers

Answer:

Question 3:

51/16

As a mixed number =

3 3/16

Step by step explanation:

You have to convert the fraction into improper fractions so 8 ½ = 17/2

and 2⅔ = 8/3

then you do 17/2 ÷ 8/3 which =

51/16 theb turn this number into a mixed number which is

3 3/16

The pic is the question! Please help

Answers

Answer:

93

Step-by-step explanation:

150×62%

150×62/100

15×62/10

=930/10

=93

Answer:

93 is your correct answer

Step-by-step explanation:

3/4x + 3 = 3/8

X = what

Answers

Answer:

x = - 7/2

Step-by-step explanation:

3/4x + 3 = 3/8

3/4x = 3/8 - 3

3/4x = - 21/8

x = -7/2

0.110 is _____ than 0.450?

A. less
B. greater
C. equal
D. greatest​

Answers

Less than. big truss, you gotta know that stuff bro
Of course it’s less than bro

Althea paid $5.00 each for two bracelets and later sold each for $15.00. She paid $8.00 each for three bracelets
and sold each of them for $9.00.
a. Write an expression that represents the profit Althea made.
b. Evaluate the expression. Name the property used in each step.

Answers

Answer:

I have the same question

Step-by-step explanation:

message me if anyone helps I need it too

PLEASE HELP!!!!!! what is the purpose of arithmetic and geometric sequences?

Answers

Answer:

An arithmetic sequence has a constant difference between each term. ... A geometric sequence has a constant ratio (multiplier) between each term. An example is: 2,4,8,16,32,… So to find the next term in the sequence we would multiply the previous term by 2.

Step-by-step explanation:

Give me a brainiest, please.

Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular shows. One night the theater sells 578 tickets and collects $3365 in total ticket sales. Whích system best represents the situation?​

Answers

Answer:

4x + 7y = 3365

x + y = 578

x = matinees

y = regular

Step-by-step explanation:

Given

$4 = matinees

$7 = regular

Total tickets = 578

Money collected = $3365

If one calls the amount of matinees that when "x" and the amount of regulars that went "y", then one can form the system;

4x + 7y = 3365

x + y = 578

Solving the system;

Multiply the second equation by (-4)

4x + 7y = 3365

-4x - 4y = -2312

Add the equations

4x + 7y = 3365

-4x -4y = -2312

3y = 1053

Inverse operations

3y = 1053

/3        /3

y = 351

x = 227

You spent $60 in supplies to sell shirts. You sell your shirts for $10
each. How many do you have to sell to make a profit?

Answers

Answer: Atleast 7

Step-by-step explanation:

In order to make a profit you have to amke more money than what you spent for supplies. So if each shirt is 10$ then you would have to sell atleast 7 shirts since if you do you will have made 70$, therefore a 10$ profit. If you sell 6 shirts, you make 60$, meaning you gain all your money back, but you do not make a profit.

the answer is 7

Step-by-step explanation:

7×10=70-60=10

3. Q3) What is the smallest number of identical squares
that will fit in this rectangle?​

Answers

Answer:

Minimum 3 squares.

Step-by-step explanation:

Let the number of identical squares that will fit in the rectangle = x

Sum of the area of the squares = Area of the given rectangle

x(Side length of the square)²= (length of the rectangle × width of the rectangle)

x(S)²= (40 × 90)

x(S)²= 3600 cm²

For the minimum numbers of the squares,

If x = 1,

S = √3600 = 60 cm

But the length of the rectangle is 40 cm, so can't be fitted in the rectangle.

If x = 2,

2S² = 3600

S² = 1800

S = √1800

S = 42.43 cm

Since, length of the rectangle is 40 cm, so the given square can't be fitted in the rectangle.

If x = 3,

3S² = 3600

S² = 1200

S = √1200

  = 34.64 cm

Therefore, minimum 3 squares can be fitted in the given rectangle.

Evaluate the expression 36.6 – 24 x 22 ÷ 3

Answers

Answer:

-139.4

Step-by-step explanation:

36.6 - 528 ÷ 3 = 36.6 - 176

= -139.4

A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming.

Answers

Complete question :

A fish is swimming at a constant rate toward the ocean floor. The equation y = -7x - 3 can be used to represent this situation, where y is the depth of the fish in meters below sea level and x is the number of seconds the fish has been swimming

Which statement best describes the depth of the fish

From a starting position of 7 meters below sea level, the fish is descending 3 meters per second.

From a starting position of 7 meters below sea level, the fish is ascending 3 meters per second.

From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.

From a starting position of 3 meters below sea level, the fish is ascending 7 meters per second.

Answer:

From a starting position of 3 meters below sea level, the fish is descending 7 meters per second.

Step-by-step explanation:

Given the equation :

y = - 7x - 3

y = depth of fish in meters ; x = Number of seconds fish has been swimming

From the equation ; which is written according to the slope - intercept equation, ; y = mx + c

The slope, m = - 7 is the rate of change in y per unit of x

c = intercept, constant, value of y when x = 0

Hence, the true statement in the equation is :

-7 represents descent and meams fish descents at a rate of 7 m per second

At x = 0, the fish is at a depth of 3 m

You can walk 3/4 of a mile in 1/6 of an hour (10 minutes). How far can you walk in an hour?

Answers

Answer:

4 and 1/2 miles (or 9/2 miles)

Step-by-step explanation:

I would set this up as a proportion

3/4          x

10          60

Cross multiply

60 x 3/4 = 45

Divide

45/10 = 4.5

4.5 = 4 and 1/2 miles

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