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
Vlad [161]
3 years ago
9

Write the expression as a single natural logarithm; 3 ln 3 + 2 ln x

Mathematics
2 answers:
crimeas [40]3 years ago
4 0

Answer:

ln (27 x²)

Step-by-step explanation:

Given in the question an expression

3 ln 3 + 2 ln x

Step1

Apply power rule

mlnx=lnx^{m}

ln 3³ +  ln x²

Step2

Apply multiplication rule

lnx + lny=ln(xy)

ln (3³ . x²)

3³ = 27

so

ln (27x²)

Blababa [14]3 years ago
3 0

ANSWER

3 ln(3)  +  2ln(x)  = ln(27 {x}^{2} )

EXPLANATION

The given logarithmic expression is

3 ln(3)  +  2ln(x)

Recall and apply the power rule:

k  \: ln(a)  =  ln( {a}^{k} )

3 ln(3)  +  2ln(x)  = ln( {3}^{3} )  +  ln( {x}^{2} )

3 ln(3)  +  2ln(x)  = ln(27)  +  ln( {x}^{2} )

Apply the product rule:

ln(ab)  =  ln(a)  +  ln(b)

3 ln(3)  +  2ln(x)  = ln(27 {x}^{2} )

You might be interested in
Given f(x)=17-x2, what is the average rate of change in f(x) over the interval [1, 5]?
Paha777 [63]

Answer:

- 6

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

here [ a, b ] = [ 1, 5 ]

f(b) = f(5) = 17 - 5² = - 8

f(a) = f(1) = 17 - 1² = 16

average rate of change = \frac{-8-16}{5-1} = \frac{-24}{4} = - 6


6 0
3 years ago
Is 15/28 equivalent to 25/45
Lana71 [14]
No, it's not.

15/28 equals to (about) 0.54 while 25/45 is (about) 0.56.
They are close, but not equivalent.<span />
7 0
3 years ago
CAN SOMEONE PLEASE HELP ME WITH MY HOMEWORK ILL DO ANYTHING FOR HELP JUST PLEASE HELP ME WITH IT
Lubov Fominskaja [6]

Answer:

80

Step-by-step explanation:

-400 / -5 = 40

Hope that helps!

7 0
3 years ago
Use a unit multiplier to convert<br> $12.00 per hour to dollars per<br> minute.
il63 [147K]

Answer:

$00.20 per min

Step-by-step explanation:

Technically $12.00 per hour is $12.00 per 60 min. So now take that and divide $12.00 by 60 and you get 20 cents per min.

6 0
3 years ago
Read 2 more answers
Which number sentence is true?
konstantin123 [22]
The answer is B. 2.5+(-1.5)=1.0
5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the difference between 2,800 and 459?
    11·1 answer
  • Can you help me plzzzzz
    14·1 answer
  • Triangle hjk is an isosceles triangle. The measures of angles j and k are equal. The measure of angle h is 100 degrees. How do y
    5·1 answer
  • What type of triangle is shown below?
    13·2 answers
  • GE = 3x - 11 FD = 2.x Find GE<br>Can someone help me??​
    13·1 answer
  • Sabrina bought a hoodie at the store when they were having a 25% off sale. If the regular
    5·2 answers
  • Could someone please help me with this.
    6·2 answers
  • What is the common ratio for the geometric sequence?
    15·1 answer
  • Given f(x) = 3x- 1 and 9(x) = 2x-3, for which value of
    5·1 answer
  • Which graph represents the inequality y≥1−3x?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!