what is the value of In x when In x = e to the power -x

Answers

Answer 1

In the Logarithm prompt above, note that the value of In x when In x = e to the power -x is x = 1/e.

What is the rationale for the above response?

The above assertion is right because the definition of the natural logarithm denoted as In x or ln x, is that it is the inverse function of the exponential function, denoted as e to the power x or ex.

This means that if we have an equation of the form In x = ex, then we can find the value of x by simply taking the inverse of both sides of the equation.

So, if we take the inverse of both sides of the equation In x = ex, we get x = In (ex) = In e to the power x = 1/e.

Learn mroe about Logarithm:
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Related Questions

What is The difference of 3-3÷2

Answers

Answer:

1.5

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

helpppppppppppppppp pleaseeeeeeeerrrr​

Answers

d is the answer

Step-by-step explanation:

the formula of finding a polygon's area is a=bh(1/2)

Example

on the chart it says base 4 and height 6 = an area of 12

which is saying 24 divided by 2 or 1/2 = 12

find the volume of this shape please helppp

Answers

Answer

.

[tex] = 1.540 \: {cm}^{3} [/tex]

.

Explain

.

Use this formula :

[tex] = \pi \times {r}^{2 } \times t[/tex]

[tex] = \frac{22}{7} \times {( \frac{14}{2} )}^{2} \times 10 \\ [/tex]

[tex] = \frac{22}{7} \times {7}^{2} \times 10 \\ [/tex]

[tex] = \frac{22}{ \cancel7} \times \cancel{49} \times 10 \\ [/tex]

[tex] = 22 \times 7 \times 10[/tex]

[tex] = 154 \times 10[/tex]

[tex] = 1.540 \: {cm}^{3} [/tex]

.

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gak bisa bahasa inggris :(

what are the components of a proofs in proving that two triangle are congruent?

Please answer it i need now i will follow,br,ainlist,thanks.​

Answers

Answer:

If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.

Step-by-step explanation:

The formula for the volume of a rectangular prism is V=l×w×h. Multiply the length times the width times the height to write a simplified expression in standard form to represent the volume of the box.

Answers

Answer:

Volume of box= Box Area * Box height

Step-by-step explanation:

If the box has equal sides then the l=w=h length is equal to height and both are equal to width so this can also be written as l=l=l or

Volume= length * width * height

V= l*w*h

V= l*l*l

V= l³

or  if the three sides are not equal this can also be written as

Volume of box= Box length * Box width * Box height

If we observe closely we find that length * breadth gives the area so the volume of the box can also be written as

Volume of box= Box length * Box width * Box height

Volume of box= Box Area * Box height

Help me with this question please!

Answers

Answer:

24, 21, 15, 12

Step-by-step explanation:

Since x is given in the table, you can find the y-values by plugging each of the x-value into the equation replacing x.

[tex]y=30-3(2)=30-6=24[/tex]  [tex](2, 24)[/tex]

[tex]y=30-3(3)=30-9=21[/tex]  [tex](3, 21)[/tex]

[tex]y=30-3(5)=30-15=15[/tex]  [tex](5, 15)[/tex]

[tex]y=30-3(6)=30-18=12[/tex]  [tex](6, 12)[/tex]

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

It is convenient to let a spreadsheet or graphing calculator do the repetitive arithmetic.

__

If you want to do it by hand, put the x-value in the equation and do the arithmetic. For example, ...

  y = 30-3(2) = 30 -6 = 24 . . . for x=2

Worth five points! Will mark the first person who answered with an actual correct answer brainliest and i don't lie about brainliest!! Please no nonsense answers I just want help :(

Triangle ABC is the right triangle.
m∠A = 42°
What is m∠B?
A. 38°
B. 42°
C. 48°
D. 128°

Answers

Answer:

C   m∠B = 48°

Step-by-step explanation:

The acute angles of a right triangle are complementary which means their sum is 90

m∠A + m∠B = 90

42 + m∠B = 90

m∠B = 48°

No links or weird answers, please :(
Are all of these graphs functions? Explain why or why not.

Answers

The only grab function is 2 because 1 and 3 don’t even make sense it’s not a negative slope, positive slope, undefined slope, or zero slope therefore it’s nothing.

Please help me I’ll mark brainliest!!!!

Answers

Answer:

Step-by-step explanation:

Can someone please help me with math.

Answers

Answer:

9. C. 35 + 0.12x = 44.36

10. C. The system has no solution since the second equation is equal to 0

11. A. 32

Step-by-step explanation:

9. The Hill family drove for 78 miles

The rental agency chargers a weekend fee of $35.00 and 12 cents per mile

Convert cents to dollars

1 cent = 0.01 dollar  

∴, 12 cent = 12 x 0.01 = 0.12 dollar

Therefore,  total bill amount = 35 + 0.12 per mile

Let "x" be the number of miles driven

Final bill was $ 44.36

44.36 = 35 + 0.12x  

0.12x = 44.36 - 35  

0.12x = 9.36

Divide both sides of the equation by 0.12

x = 78

10. The system of equations is...

The true statement about the given system of equations.  

The slope-intercept form of a line is...

Where m is the slope and b is the y-intercept.

We have,...  

On comparing these two lines with slope-intercept form, we get...  

Since the slopes of the lines are equal but the y-intercepts are different, therefore, the two lines are parallel and the system has no solution.

11. This is an equation Solutions: x=32.

⇒ Value of (Dimes + Quarters) = $ 6.70  

or, (0.1 m) +  11.5 - 0.25 m  = 6.70  

-0.15 m = - 4.8  

or, m = 4.8/0.15  =  32  

m = 32  

PLEASE HELP! ASAP I WILL GIVE BRAINLIEST
This table represents the monthly fees for checking accounts at two banks.

Which statement is best supported by the information in the table?


The fee at Sunset Bank will always be less than the fee at Oceanview Bank.

The fee at Sunset Bank will be less than the fee at Oceanview Bank only when the checking account balance is less than $200.

The fee at Sunset Bank will be less than the fee at Oceanview Bank only when the checking account balance is more than $200.

The fee at Sunset Bank will always be more than fee at Oceanview Bank.

Answers

Answer:

the fee at sunset bank will always be more than fee at Oceanview bank.

Answer:

D

Step-by-step explanation:

i got it correct and go to k-12

A teacher changed to grading from 50 points + 5 for each correct answer to 50 points + 7 for each correct answer. What would change: the slope. The y intercept, both the slope and the y intercept or nothing

Answers

Answer:

The slope

Step-by-step explanation:

Given that:

Initial grading ; For each correct answer : 50 points + 5

New grading ; For each correct answer = 50 + 7 points

The reading coukd be expressed in slope intercept form of an equation as :

Initial grading :

y = 50 + 5x

New grading :

y = 50 + 7x

y = total score ; x = number of correct answers

The change in y per unit change in x which is the slope, is the only difference in the two equations, the intercept (50) stays the same.

Therefore, only the slope changes.

Which equation does this model represent

Answers

Answer:

G.

Step-by-step explanation:

5 + (-9) = -4.

. .

. .....

Graph a direct variation function that goes through the point (-2, -6). what is the slope

Answers

Answer:

The slope is 3.

Step-by-step explanation:

A direct variation function will always go through the origin point (0, 0).

Therefore, we have the two points (0, 0) and (-2, -6).

We can use the slope formula to find the slope:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute and evaluate:

[tex]\displaystyle m=\frac{0-(-6)}{0-(-2)}=\frac{6}{2}=3[/tex]

Therefore, the slope of the function is 3.

To graph, simply plot (0, 0) and (-2, -6) and draw a line connecting them. This is shown below.

Answer:

y = 2/3x - 3

Slope: 2/3x

Step-by-step explanation:

Slope: 2/3x

y- intercept: (0,-3)

once it goes down it'll be -2/-3x which will go to through (-2,-6) as soon as it goes down from the y-intercept.

equation: y = 2/3x - 3

State if the three numbers can be the measures of the sides of a triangle.
689
No or Yes

Answers

Answer:

Yes

Step-by-step explanation:

6 + 8 = 14 which is bigger than 9 so it is possible

If the two shorter sides add up to a number that is equal to or smaller than the largest side, the triangle is impossible

can someone help? xo

Answers

Answer:

D

Step-by-step explanation:

The ordered pair (-1, 1/2) does not appear on this graph.

Which expression is equivalent to 91 + 39?

(A) 13(7 + 39)

(B) 3(30 + 13)

(C) 13(7 + 3)

(D) 7(13 + 6)

Answers

C

Explation:
7+3= 10

13x10=130

91+39=130

Hope this helped!

Which equation is the most accurate line of best fit for this scatter plot?

A: y = 10x + 800

B: y = -10x - 800

C: y = -10x + 800

D: y = 10x - 800

Answers

The answer is D because it is a negative association

What is the median of the following data set?
{5, 2, 9, 7,4}
A.5
B.7
C.8
D.9

Answers

Answer:

5

Step-by-step explanation:

The median of all the answers equal up to 5.

Plz only find the shaded area only I would appreciate if you did this on paper and showed all steps

Answers

The area of the shaded portion is 106 square m. I got this number by finding the area of the WHOLE figure (120 because that’s what 10 times 12 equals) then I subtracted that by the area of the white portion (14 because 7x2 equals that). Then I just subtract 14 from 120 and get 106. Hope this helps

Please I really need help with this

Answers

12^2+X^2=20^2
144+X^2=400
X^2=400-144
X^2=256
X=16

Answer:

x=16

I used Pythagorean theorem.

Step-by-step explanation:

Tell me if you have more questions or want to know how I solved it.

Have a nice day!

and can I maybe have brainliest? Thanks!

Describe the error in the work shown.

Answers

In the third step, to get rid of the cubed root you have to have a cubed exponent as it shows with (y^3)^4. However, it takes the 4 out instead of the 3. You're supposed to take the 3 out, and the answer is supposed to be xy^4/4

if a= 3 and b= 4 what would c=​

Answers

Answer:

5

Step-by-step explanation:

mariah and isaiah each deposited $7000 into accounts that earn 6% interest the graph shows the amount of interest each account earns in the 1st three years whose account earns annual simple interest and whose account earns annual compound interest explain your choice
Please help me

Answers

Answer:

its Isaiah he's the most financially stable

Answer:

Compound is Isaiah and Simple is Maria.

Step-by-step explanation:

22. A carton of milk holds 10 cups. A recite
for strawberry milkshakes requires 3/4 of a cup
of milk. How many recipes could you make
with the carton of milk?

Answers

Answer:

7

Step-by-step explanation:

Just simply divide 10 with 3/4

[tex]10*\frac{3}{4}\\\\=\frac{15}{2}[/tex]

Now you can't make 7.5 recipes and also You can't make 8 recipes either [if you round up the value].

Now round down the value

the answer is 7

A rectangular flower garden in Samantha's backyard has 300 feet around its edge. The width of the garden is 70 feet.

Answers

300 multiplied by 70 is your answer

NO FILES I WILL MARK YOU IF RIGHT I ASKED THIS FIVE TIMES ALL I GET IS SCAM FILES!!!!!!!!!!!!! PLZZZZZZ HELP
The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $6500 to rent trucks plus an additional fee of 175.25 for each ton of sugar. The second company charges $5696 to rent trucks plus an additional fee of 225.50 for each ton of sugar.
For what amount of sugar do the two companies charge the same?
What is the cost when the two companies charge the same?

Answers

Answer:

14 tons

$3,860.50

Step-by-step explanation:

Let x = the amount of sugar transported.

First company:

The cost is $3157 truck rental plus $50.25 per ton of sugar.

Total cost = 3157 + 50.25x dollars

Second company:

There is no charge for truck rental, but it costs $275.75 per ton of sugar.

The total cost is

275.75x

When the two costs are the same, then

275.75x = 3157 +50.25x

225.5x = 3157

x = 14 tons

The total cost is 275.75*14 = $3,860.50

Find the missing length. The triangles in each pair are similar.

Answers

Answer:

Step-by-step explanation:

This a not so simple ratio problem:

     MN is to LN as TN is to UN as MT is to LU

     MN/LN    =   TN/UN    =   MT/ LU         trying to find LU

     88 / (? + 32)   =  (88-56)/32   = 56/?

                            =     32 / 32   = 56 / ?        

                                   1  =  56 / ?  

                                   ?  = 56  

     88 / (56 +32)  = 1      This must be an Isosceles triangle and UT bisects

                                       LN and MN

please help!!No links

Answers

Answer:1800

Step-by-step explanation: The larger triangle is double the size of the smaller triangle based on the sides 300->600 and 400->800

Andre is saving to buy a guitar for $205. He works at the car wash and get paid $106 a week plus $2 tip for each car he washes. What is the least amount of cars he needs to wash this week to be able to buy the guitar?

Answers

Answer: 2 cars

Step-by-step explanation:

$106 x 2= $212 which is the least ammount of cars he needs to wash to get the guitar

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