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
8090 [49]
2 years ago
6

Hello! Can I get some help with calculus please? #14 and #18. Don't forget to show your work. I appreciate the help! ​

Mathematics
1 answer:
Lilit [14]2 years ago
5 0

Answer:

14. 5log3(x) -2log3(y)

18. ln(x+1) -2ln(x)

Step-by-step explanation:

The relevant rules of logarithms are ...

log(ab) = log(a) +log(b)

log(a^b) = b·log(a)

___

14. Applying the first rule gives ...

log3(x^5) +log3(y^-2)

Applying the second rule gives ...

5·log3(x) -2·log3(y)

___

18. The log of a sum cannot be simplified. We can make this be a simpler expression so that the log of it will be fairly simple.

ln(1/x +1/x^2) = ln(x/x^2 +1/x^2) = ln((x+1)/x^2)

Now, we can apply rule 1 to get ...

ln(x+1) +ln(1/x^2)

and applying rule 2 gives ...

ln(x+1) -2ln(x)

You might be interested in
PLEASE HELP!!! GIVING BRAINLIEST
Anvisha [2.4K]

Answer:Column one answers:

1: 490

2:396

3.18

4.10

Column 2:

1. 490

2.396

3.18

4.100

Column 3:

1.490

2.396

3.18

4.100

Hope this helps if you need more then just ask

7 0
3 years ago
Un radar de l'armée américaine réussit à détecter tout ce qui se trouve à un rayon représenté
WARRIOR [948]

Répondre:

r <27

Explication étape par étape:

Compte tenu de l'inégalité 5r + 9> 10r - 126

Nous devons trouver l'ensemble de solutions

5r + 9> 10r - 126

Ajouter 126 des deux côtés

5r + 9 + 126> 10r - 126 + 126

5r + 135> 10r

5r-10r> -135

-5r> -135

Divisez les deux côtés par -5 (notez que le signe changera)

-5r / -6 <-135 / -5

r <27

Par conséquent, les ensembles de solutions sont des valeurs inférieures à 27

8 0
2 years ago
Pls help give u a free brainlist
Brilliant_brown [7]

Answer:

correct answer is J

Step-by-step explanation:

3 0
3 years ago
On Sunday, a local hamburger shop sold a combined total of 414 hamburgers and cheeseburgers. The number of cheeseburgers sold wa
dsp73
414 divided by 2= 207
divided by 2 because two times the number
207 hamburgers sold
7 0
2 years ago
If x = 2 and y = 14 , evaluate the following expression: x y Give your answer as a fraction in its simplest form.
LiRa [457]

Answer:

1/7

Step-by-step explanation:

x/y

Plug in the values.

(2)/(14)

Simplify.

1/7

5 0
3 years ago
Read 2 more answers
Other questions:
  • We reached our goal by helping 2000 customers this month which is 14% more than last month. That means we must have helped how m
    6·1 answer
  • A parking garage has spaces for 70 cars and charges each driver $6 per day for parking. If the garage is full, how much more wou
    9·2 answers
  • Solve for t.<br><br>3/4t = 1/4
    12·1 answer
  • Equation a: 3x y = 6 equation b: 6x - 2y = 4 equation c: y = 3x - 2 equation d: y = 1/3x 7 which two lines are perpendicular?
    5·1 answer
  • What are the zeros for y = x squared - 4
    12·1 answer
  • Please help 2 7/12= ¼x
    12·2 answers
  • 5 2 1 2 <br><br>3 3 4 5 <br><br>5 4 3 3 <br><br>4 5 1 2 <br><br>calculate the mean of the data​
    11·1 answer
  • decide whether enough information is given to prove that triangle XYZ is congruent to triangle JKL. If so, state the term you us
    6·1 answer
  • Whens my birthday <br> sept 18 <br> oct 16<br> jan 3 <br> feb 14
    12·2 answers
  • Find ∠BCD<br> A)60<br> B)20<br> C)80<br> D)120
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!