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
Katyanochek1 [597]
3 years ago
7

How do you reduce ln(3^-e e^3) to simplest form

Mathematics
1 answer:
leva [86]3 years ago
7 0

The logarithm of a product is equal to the sum of logarithms:

\ln(3^{-e}e^3)=\ln3^{-e}+\ln e^3

Drop the exponents:

-e\ln3+3\ln e

The logarithm of a number is equal to 1 if the base of the logarithm is the same as the number itself:

-e\ln3+3

You might be interested in
An ice chest contains cans of apple juice, cans of grape juice, cans of orange juice, and cans of mango juice. Suppose that you
mel-nik [20]

Answer:

4.9%

Step-by-step explanation:

This question is incomplete. However; it can be found on search engines. The complete question is  as follows :

An ice chest contains cans of six apple juice, eight cans of grape juice, four cans of orange juice, and two cans of mango juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting three cans of grape juice.

Solution :

In an ice chest there are different cans of juice. Among them

Number of cans of apple juice = 6

Number of cans of grape juice = 8

Number of cans of orange juice = 4

Number of cans of mango juice = 2

Total number of cans of juice = 6 + 8 + 4 + 2 = 20

Let A, B and C are the event of selecting of three cans.  The events A, B and C are dependent.

Probability of selecting three cans of juice

P = \frac{\text{number of grape cans}}{\text {total number of cans}}

P (A) = \frac{8}{20}

P (B) = \frac{7}{19}

P (B) = \frac{6}{18}

P = \frac{8}{20} × \frac{7}{19} × \frac{6}{18}

  = \frac{336}{6840}

  = 0.049 or 4.9%

Probability of selecting three cans of grape juice is 4.9%

5 0
3 years ago
Calculate the surface area of the prism. Measurements are in centimetres
Nata [24]

Answer:

2804 cm²

Step-by-step explanation:

<u>Total area comprises of 6 faces: 2 trapezoids and 4 rectangles</u>

  • Trapezoid = 1/2*(14+32)*24 = 552 cm² each
  • Bottom = 17*32 = 544 cm²
  • Top = 14*17 = 238 cm²
  • Right side = 17*24 = 408 cm²
  • Left side = 17*√((24² + (32-14)²) = 17* √900 = 17*30 = 510 cm²

<u>Total area:</u>

552*2 + 544 + 238 + 408 + 510 =  2804 cm²

6 0
3 years ago
What is the mode of 5,67,8,9,10
Eduardwww [97]
The score set above has no mode
This is because mode is a measure of what score occurs the most
In this score set no numbers occur more than once
8 0
3 years ago
Eighty decreased by six times eight
Stells [14]
80-6×8= answer decrease is reduced..... does this help
8 0
3 years ago
Read 2 more answers
Why is your forehead so big?
Mariana [72]

Answer:

The upper third of the face is considered from the hairline to the brow line A big forehead may be caused by a receding or high hairline, low hair density, or a heavy brow. Thats why UR forehead is so big... mine aint...

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • Please help!!Which decimal is equivalent to the mixed number plotted at S on the number line?
    11·1 answer
  • HELP PICTURE IS SHOWN
    13·1 answer
  • Please help it's due in 15 minutes. Graph the liner equation. x + 4 =0​
    6·2 answers
  • How do you write 60% as in simplest form?
    10·1 answer
  • Tim bought a washing machine for a total of $651 with tax included. What was the price of the washing machine before tax if Tim
    11·1 answer
  • I need help ON THIS PLS
    13·1 answer
  • The expression x-3 is a factor of the polynomial P(X)=x^3-4x^2+4x-3. use synthetic division to write P(X) in factored form.
    7·2 answers
  • Please help with this math question
    7·1 answer
  • Write this equation in slope-intercept form by isolating the y-variable.<br> 12x = 4y
    13·1 answer
  • You figured out that you could make $50 each time you cleaned a pool during the summer. You did, however, need to purchase some
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!