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
xz_007 [3.2K]
2 years ago
6

Write In (4/9) in terms of In 2 and In 3.

Mathematics
1 answer:
Gnesinka [82]2 years ago
7 0
Answer

A) 2 ln 2 - 2 ln 3

Explanation

Using the laws of logarithms:

ln (x/y) = ln (x) - ln (y)

ln (4/9) = ln (4) - ln (9)

This can be written as

ln (2^2) - ln (3^2)

Another law is:

ln (n^m) = m ln(n)

So finally:

2ln (2) - 2ln 3
You might be interested in
The ratio of students in Class X to Class Y is 2 : 5. There are 24 more students in Class Y than Class X. How many students must
Natalka [10]

Answer: 12 students

Step-by-step explanation:

Let X and Y stand for the number of students in each respective class.

We know:

X/Y = 2/5, and

Y = X+24

We want to find the number of students, x, that when transferred from Y to X, will make the classes equal in size. We can express this as:

(Y-x)/(X+x) = 1

---

We can rearrange X/Y = 2/5 to:

X = 2Y/5

The use this value of X in the second equation:

Y = X+24

Y =2Y/5+24

5Y = 2Y + 120

3Y = 120

Y = 40

Since Y = X+24

40 = X + 24

X = 16

--

Now we want x, the number of students transferring from Class Y to Class X, to be a value such that X = Y:

(Y-x)=(X+x)

(40-x)=(16+x)

24 = 2x

x = 12

12 students must transfer to the more difficult, very early morning, class.

7 0
2 years ago
Find p(0), p(1) and p(2) for the polynomial P(t) = 2 + t + 2t²-t³
FinnZ [79.3K]

p(0)=2

p(1)=2+1+2-1=4

p(2)=2+2+8-8=4

5 0
3 years ago
Keri walks her dog every morning. The length of the walk is 0.55 kilometer on each weekday. On each weekend day the walk is 1.4
belka [17]

Answer:   b i think

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Solve the problem 6=-w/8<br> The slash means it is a fraction.
guapka [62]
48/8 can equal 6. I hope this helps!
7 0
3 years ago
1.48 as a fraction ​
Leni [432]

Answer:

148/100=37/25

Step-by-step explanation:

Who have to think how many zeros it took for the decimal to get between the 1 and 4.

148/100=37/25 is your answer.

4 0
3 years ago
Read 2 more answers
Other questions:
  • The circumference of a circle F is about 25 cm
    15·1 answer
  • What is fourteen less than three fourths of a number is negative eight written as a equation
    9·1 answer
  • Find the work done by a force of 4 pounds acting in the direction of 41° to the horizontal in moving an object 5 feet from (0, 0
    6·1 answer
  • Which statement is it please! let me know !!
    6·1 answer
  • Which of these geometric figures can intersect to form a cross section? Check all that apply. 1.a line and a prism 2.a line and
    7·2 answers
  • Suppose the length of AD is 10 and the length of DG is twice as long as AD Find The Length Of AG Show Your Work
    10·1 answer
  • Maria can clean the entire house in two hours. Her sister, Sasha, can clean the house in three hours. How long would it take for
    12·1 answer
  • If 60% of a number is 90, what is 4/5 of the <br>number?​
    11·1 answer
  • Fourth time I've asked for help on this question! HELP ASAP!!! Please give a step-by-step explanation!
    10·1 answer
  • In the diagram below BD is parallel to XY what is the value of y ?
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!