If e^5x = k, where k is any positive number, then what is the value of x?
A. lnk/ln5
B. ln(k/5)
C.1/5*ln k
D. 5 * 1/ln k

Answers

Answer 1

[tex]e^{5x}=k\implies\ln(e^{5x})=\ln(k)\implies\boxed{x=\ln(k)/5}[/tex]

Hope this helps.


Related Questions

I need help Question 2 (1 point)

Answers

Answer:

12 units

Step-by-step explanation:

Each side of the triangle is 1 unit. When putting 10 triangles together in figure 10, there will be 12 sides on the perimeter. Therefore, your answer is 12 units.

After you multiply a number by 9 and subtract the product from 300, the difference will be 183. Find the number.

Answers

The correct answer is 13.

(I only replied so you can give the other person the brainliest)

You begin painting your house with 10 gallons of paint you purchased at the hardware store. Each gallon of paint covers 400
square feet of surface area. If g is the gallons of paint used for painting x square feet, which type of model would best describe the
relationship between g and x?
A)
linear
B)
radical
quadratic
D)
exponential

Answers

Answer:

A)  linear

Step-by-step explanation:

Let the gallons of paint be represented by g, and the area by x.

Each gallon of paint covers 400 square feet of surface area.

⇒ x = 400g

So that; when g = 1,

x = 400 square feet

when g = 5,

x = 400 x 5

  = 2000 square feet

when g = 10,

x = 400 x 10

 = 4000 square feet

The relationship between the variables is linear because g and x increases at a constant rate.

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 3 to 5. If there were
4104 total votes, how many yes votes were there?

Answers

Answer:

the residents of a city voted on whether to raise property taxes. The ratio of yes to no votes was 5 to 8. If there were 6776 no votes, what was the total number of votes?

-------

5 to 8 is the same as 5x to 8x where 8x is the number of no votes.

----

If 8x = 6776, then x = 847

Step-by-step explanation:

HOPE THIS HELPED ✨

Ben started riding his bike at 10:05 A.M. He stopped 23 minutes later
when his friend Robbie asked him to play kickball. At what time did
Ren ston riding his bike?

Answers

Answer:

10:28 A.M.

Step-by-step explanation:

5 plus 23 equals 28

10:28 am is when he stopped riding his bike

Solve for x.
2x+ 26 =-4(x - 5)
Simplify your answer as much as possible.

Answers

Answer:

X= -1

Step-by-step explanation:

Used an Algebra app :)

It helps.

Answer:

x=−1

Step-by-step explanation:

Line j passes through points (10, 10) and (1, 3). Line k is parallel to line j. What is the slope of line k?

Answers

Answer:

= (10-3) ÷ (10-1) = 7 ÷9 = 7/9

Step-by-step explanation:

As they are parallel, their slopes are the same. So if we find slope of line j we find slope of line k when we have two points of one line like (x1 , y1) and (x2 , y2) the slope of that line is (y2-y1) ÷ (x2-x1)

Simplify. Express your answer using positive exponents.​

Answers

Answer:

48a^2b^6c^5d^2

Step-by-step explanation:

Multiply whole numbers and add exponents.

Answer:

48 (a^2) (b^6) (c^5) (d^2)

Step-by-step explanation:

^ shows an exponent

3/8+2/5 what is the answer

Answers

Answer:

31/40

Step-by-step explanation:

PLease help this my last question

Answers

Answer:

y = 15∠abc = 68°∠bac = 78°∠acb = 34°

Step-by-step explanation:

It is helpful to realize that the exterior angle is equal to the sum of the remote interior angles:

  146° = (5y+3)° +(4y+8)°

  135 = 9y . . . . . . . . . . . . . . divide by °, subtract 11

  15 = y . . . . . . . . . divide by 9

∠abc = (4y+8)° = (4·15 +8)° = 68°

∠bac = (5y+3)° = (5·15 +3)° = 78°

∠acb = 180° -146° = 34°

Please help! I need to show my work

answer is 50

Thanks so much

Answers

Answer:

(3x +2)° + 28° = 180°

=> 3x + 30 = 180

=> 3x = 180–30

=> x = 150/3

=> x = 50

[tex]v^{3)[/tex]-[tex]11v^{2}[/tex]+13v-30)÷(v-10)

Answers

Answer:

[tex]v^2-v+3[/tex]

Step-by-step explanation:

[tex](v^3-11v^2+13v-30)\div (v-10)\\\\\frac{v^3-11v^2+13v-30}{v-10}\\\\Factorize\:\:v^3-11v^2+13v-30\\\\=\frac{\left(v-10\right)\left(v^2-v+3\right)}{v-10}\\\\\mathrm{Cancel\:the\:common\:factor:}\:v-10\\\\=v^2-v+3[/tex]

What is the reason for each step in the solution of the equation?
-6x+7x+14=3

Answers

Answer:

See Below

Step-by-step explanation:

Step 1:

- 6x + 7x + 14 = 3       Given

Step 2:

x + 14 = 3     Combine like terms

Answer:

x = - 11       Subtraction Property of Equality

Hope This Helps :)

3/4 (6x + 1) - 3x = 1/4 (2x - 1)

Answers

3/4*(6x+1)-3*x-(1/4*(2*x-1))=0
X=1

3/4 (6x + 1) - 3x = 1/4 (2x - 1) . The purpose of this question is to solve for x.

[tex]\mathbf{x = \dfrac{-4}{13}}[/tex]

Given that:

3/4 (6x + 1) - 3x = 1/4 (2x - 1)

When calculating algebraic expression, we take note of integers in bracket first, then we collect the like terms in order to find the value of x.

[tex]\mathbf{\dfrac{3}{4} (6x + 1) - 3x =\dfrac{1}{4} (2x - 1) }[/tex]

Let's multiply both sides by 4 to eliminate the fraction.

[tex]\mathbf{(\dfrac{3}{4} \times 4) (6x + 1) - 3x =(\dfrac{1}{4} \times 4 ) (2x - 1) }[/tex]

[tex]\mathbf{(3) (6x + 1) - 3x =(1 ) (2x - 1) }[/tex]

Open brackets;

18x + 3  - 3x = 2x - 1  

By rearrangement;

18x - 3x + 3 = 2x - 1

15x + 3 = 2x - 1

Collect like terms

15x - 2x = - 3 - 1

13x = - 4

Divide both sides by 13

[tex]\mathbf{\dfrac{13x}{13} = \dfrac{-4}{13}}[/tex]

[tex]\mathbf{x = \dfrac{-4}{13}}[/tex]

Learn more about algebraic expressions here:

https://brainly.com/question/11227332?referrer=searchResults

There are 144 children performing in 3 school bands each band has the same number of children how many children are performing in each school brand

Answers

Answer:

48 children performing.

Step-by-step explanation:

Well all you do is divide 144 by 3 and you will get the answer of 48.

The answer is 48, because 144 students divided by 3 school bands is 48.

A plumber earns $50 for a repair job, plus an additional $75 per hour he works. On Tuesday, he completed 3 repair jobs and earned a total of more than $600. Part A: Write an inequality that can be used to determine h, the number of hours the plumber worked Tuesday.

Answers

Answer:

[tex]150 + 75h > 600[/tex]

Step-by-step explanation:

The inequality that can be used to determine h is shown below:-

As per the given situation,  it is mentioned that a plumber could earns $50 for a repair job, so for three jobs he earned $150 as a total amount

Now

We presume h be the number of hours

Also he earns additional $75 per hour worked so $75

Total amount is $150 + $75h)

The total amount is more than $600

So, the inequality equation is as given below:

[tex]150 + 75h > 600[/tex]

PLEASE HELPPPPPPBobby took out a single loan for $500 and paid a $50 fee. His loan is due in 1 week. Find the effective interest rate on the loan Bobby took out. Round the answer to one decimal place.

Answers

Answer:

He took a loan of $500 and paid a fee of $50 on the loan. This means that #500 divided by $50 =10%

Find the reciprocal of the following rational number​

Answers

where the numbers at?

Answer:

where are the numbers

Step-by-step explanation:

Conchita starts a savings account. She deposits $100 from her parents. After that, she
deposits $10 each month. Write an algebraic expression to give the amount of money she
has saved after m months.

Answers

Answer:

$100 + $10m

Step-by-step explanation:

A = Account Balance = 100

After M months

A = $100 + $10m

What is 15.5% as a fraction in simplest form

Answers

Answer:

Hope this helps

Step-by-step explanation:

15.5

10

(Computer won't do fractions so 15.5 out of 10 or 15.5 in decimal form)

How much is 16 2/3% of 21.6?

Answers

3.6 % ::::::::::::::::::

√116 rounded to the nearest tenth?

Answers

Answer:

10.8

hope this helps

Answer:

[tex]\boxed {10.8}[/tex]

Step-by-step explanation:

The equation:

[tex]\sqrt{116}[/tex]

Simplify:

[tex]\sqrt{116}[/tex]

[tex]2\sqrt{29} \approx 10.77[/tex]

-Round the approximation to the nearest tenth:

[tex]\boxed {10.8}[/tex]

Choose the correct slope of the line that passes through the points (1, −3) and (3, −5).
Answer Choices
A. 1
B. -1
C. 0
D. 1/2

Answers

Answer:

B. -1

Step-by-step explanation:

Use the slope formula to find the slope  m .

Answer:

B

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (1, - 3) and (x₂, y₂ ) = (3, - 5)

m = [tex]\frac{-5+3}{3-1}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1 → B

Solve for the value of w. (8w-7) (7w+8)°​

Answers

Answer:

W1=0.875.

W2= -1.14

Step-by-step explanation:

(8w-7)(7w+8)

8w(7w+8)-7(7w+8)

56w^2+64w-49w-56

56w^2+15w-56

Solve it by quadratic equation

a=-b+-√(b^2-4ac)/2a

Substitute the values

And you will get 2 answers

a=-56

b=15

c=56

Write an equation for the parabola with the vertex (0,0) and focus (5,0)

Answers

Answer:

Step-by-step explanation:put ha times 4 then divide it by ha 23

help please! I’ll mark you as brainliest!

Answers

Answer:

kidnapping children is illegal in colombia

Step-by-step explanation:

not here because i have 7 kids in my basement and not once have i had the police called on me

How many solutions do the following equations have?
Please show steps

8x + 10 = 8x - 7

Answers

Answer:

No Solutions

Step-by-step explanation:

Step 1:

8x + 10 = 8x - 7      Equation

Step 2:

10 = - 7    Subtract 8x on both sides

Step 3:

10 ≠ - 7    No Solutions

Answer:

No Solutions

Hope This Helps :)

Step-by-step explanation:

it has 8 because it got both numbers of 8

2)
What is the slope of the line defined by the equation y = -3x + 2?
A)
-3
B)
-3/2
C)
2
D)
3

Answers

-3

y=mx+b

m is the slope

m=2

Please help asap!!!!!!!!!

Answers

Exact answer is 29415.5844

However if you round the multiplier it is

2.942x10^4 or $29420

Step-by-step explanation:

Plug it in a calculator. Divide debt by population.

I WILL AWARD BRAINIEST PLEASE HELP

Answers

Answer:

12

Step-by-step explanation:

zeros are the x-intercepts of any function. to find the x-intercept of this given function, we have to set y equal to 0.

0= -1/2x+6

-6=-1/2x

12=x

x=12

the x-intercept is (12,0), meaning 12 is the zero of this function.

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