1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
iris [78.8K]
3 years ago
14

What is the solution to the equation e³x=12 Round your answer to the nearest hundredth.

Mathematics
1 answer:
patriot [66]3 years ago
4 0

The equation is:

[e^x] [e^(2x)] = 4

1) Applying property of multiplication of powers wiith same base =>

e ^ (x + 2x) = 4

=> e ^ (3x) = 4

2) Applying logarigth properties

3x = ln(4)

=> x = ln(4) / 3 ≈ 1.38629 / 3 ≈ 0.4621

Answer: x = ln(4) / 3 ≈ 0.4621



You might be interested in
A car traveld 32 miles in 4 hours at this rate how many miles will the car travel in 0.5 hours
Mandarinka [93]

Answer:

4 miles

Step-by-step explanation:

In order to find how many miles the car will travel in 0.5 hours, we can set up a proportion.

\frac{32}{4} = \frac{x}{0.5}

We can now cross multiply to find the value of x.

32 \cdot 0.5 = 16\\\\16\div4 = 4

So the car can travel 4 miles in 0.5 hours.

Hope this helped!

5 0
3 years ago
Read 2 more answers
What is the compound interest of 10400 at 12.7% for 4 year
Naddik [55]

The Compound Interest of 10400 at 12.7% for 4 years is 6378.

The principal amount is given as 10400.

The rate of interest is given as 12.7%.

The time period to be calculated is given as 4 years.

The compound interest for the given above is to be calculated.

<h3>What is compound interest?</h3>

Compound interest is the interest that we earn both on the principal amount and the interest we earn.

The formula used to calculate compound interest is:                                  

   P [ (1 + \frac{R}{100} )^n - 1 ]

Where P = principal amount, R = rate of interest, and n = number of years.

We have,

P = 10400

R = 12.7%

n = 4 years

Compound interest:

P [ (1 + \frac{R}{100} )^n - 1 ]\\\\10400 [ (1 + \frac{12.7}{100} )^4 - 1 ]

Now,

10400 [ ( 1 + 0.12.7 )^2 - 1 ]

10400 [ 1.127^4 - 1 ]

10400 [ 1.61322 - 1 ]

10400 x 0.6132

6377.56

Rounding to the nearest whole number.

We have,

Compound Interest = 6378.

Thus the Compound Interest of 10400 at 12.7% for 4 years is 6378.

Learn more about Compound Interest here:

brainly.com/question/13155407

#SPJ1

8 0
2 years ago
What is the volume of a cone with a height of 5 cm and a diameter of 2 cm
horrorfan [7]

Answer:

Step-by-step explanation:

8 0
3 years ago
8700,4 - 68,57 = ??????<br><br><br> Pls Help!
saul85 [17]

Answer:

8631.83

80074

 6857

8631.83

If you need help, don't hesitate to ask.

I'm here and ready to respond to the hardest questions.

May I please have brainliest?

Have a great day!!!!

6 0
3 years ago
Read 2 more answers
pls answer Sylvia read that the height of the Empire State Building is 443.2 m and wants to build a scale model of the building
uysha [10]

Answer:

C

Step-by-step explanation:

converting 8 ft to inches

8 * 12 = 96inches

if 96 inches = 443.2 m

1 inch = (443.2 * 1)/96 = 4.6m

which is closest to option c

8 0
3 years ago
Other questions:
  • Find the value of two numbers if their sum is 32 and their difference is 14.
    6·1 answer
  • The cities Cleveland, Ohio; Erie, Pennsylvania; and Rochester, New York, in respective order, lie approximately in a straight li
    6·1 answer
  • Help me please assap
    10·1 answer
  • Han is cycling at a speed of -8 miles per hour; if he starts at the same zero point, what will his position be after the 45 minu
    15·1 answer
  • A taxi charges a flat rate of 1.75, plus an additional 0.65 per mile. If Erika has at most 7.60 to spend on the cab ride, how fa
    7·1 answer
  • Which best describes the difference between Protestant and Catholic beliefs?
    12·1 answer
  • Simplify: <br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B6%5E%7B3%7D-7%5Ccdot3%5E%7B4%7D-2%5E%7B5%7D%5Ccdot9%7D%7B%5Cleft%281-
    7·1 answer
  • What is the volumenof the sphere rounded to the nearest hunderths?​
    12·1 answer
  • What is the solution of the system
    9·1 answer
  • Match the key features of functions terms to their corresponding definitions.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!