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
stepladder [879]
3 years ago
14

List the potential solutions to 2 ln x = 4 ln 2 from least to greatest.

Mathematics
2 answers:
Contact [7]3 years ago
6 0
X = -4 and X = 4
then the answer to the solution is 4


svp [43]3 years ago
3 0

We have to find the potential solutions to 2 ln x = 4 ln 2 from least to greatest.

Using the properties of ln function.

a \times ln b = ln b^{a}

Therefore, we get

ln x^{2} = ln 2^{4}

ln x^{2} = ln 16

taking antilog on both the sides, we get

x^{2} = 16

So, x = \pm 4

Therefore, the potential solutions to 2 ln x = 4 ln 2 from least to greatest is -4 and 4.

You might be interested in
What is the value of the function at x=−2?
kogti [31]

So for this problem, the x-axis is the horizontal line in the center.

Go to where -2 is on the x-axis as shown. Use your finger to trace along since that's usually helpful in finding the point.

Move your finger from -2 on the x-axis to where the solid black line is. On the right side of that, you can see that the y-axis holds the number 2 which is what the y equals for this solid line.

Therefore, the answer should be c.) y = 2

8 0
3 years ago
State whether the lines are parallel, perpendicular,or neither.
cluponka [151]

Answer:

Please check the explanation.

Step-by-step explanation:

  • Two lines are parallel if their slopes are equal.
  • Two lines are perpendicular if the product of their slope is -1

We also know that the slope-intercept form of the line equation is

y=mx+b

where m is the slope and b is the y-intercept

Given the lines

1)

  • y = 6х - 3

Comparing with y=mx+b, the slope of y = 6х - 3:

m₁=6  

  • y = - 1/6x + 7

Comparing with y=mx+b, the slope of y = - 1/6x + 7:

m₂=-1/6

As

m₁ × m₂ = -1

6 ×  - 1/6 = -1

-1 = -1

Thus, the lines y = 6х - 3 and y = - 1/6x + 7 are perpendicular.

2)

  • y = 3x + 2

Comparing with y=mx+b, the slope of y = 3x + 2:

m₁=3  

  • 2y = 6x - 6

simplifying to write in slope-intercept form

y=3x-3

Comparing with y=mx+b, the slope of y=3x-3:

m₂=3

As the slopes of y = 3x + 2 and 2y = 6x - 6 are equal.

i.e. m₁ = m₂ → 3 = 3

Thus, the lines y = 3x + 2 and 2y = 6x - 6 are paralle.

3)

  • 8x - 2y = 3

simplifying to write in slope-intercept form

y = 4x - 3/2

Comparing with y=mx+b, the slope of y = 4x - 3/2:

m₁=4  

  • x + 4y = - 1

simplifying to write in slope-intercept form

y=-1/4x-1/4

Comparing with y=mx+b, the slope of y=-1/4x-1/4:

m₂=-1/4

As

m₁ × m₂ = -1

4 ×  - 1/4 = -1

-1 = -1

Thus, the lines 8x - 2y = 3 and x + 4y = - 1 are perpendicular.

4)

  • 3x+2y = 5

simplifying to write in slope-intercept form

y = -3/2x + 5/2

Comparing with y=mx+b, the slope of y = -3/2x + 5/2:

m₁=-3/2  

  • 3y + 2x = - 3

simplifying to write in slope-intercept form

y = -2/3x - 1

Comparing with y=mx+b, the slope of y = -2/3x - 1:

m₂=-2/3

As m₁ and m₂ are neither equal nor their product is -1, hence the lines neither perpendicular nor parallel.

5)

  • y - 5 = 6x

simplifying to write in slope-intercept form

y=6x+5

Comparing with y=mx+b, the slope of y=6x+5:

m₁=6  

  • y - 6x = - 1

simplifying to write in slope-intercept form

y=6x-1

Comparing with y=mx+b, the slope of y=6x-1:

m₂=6

As the slopes of y - 5 = 6x and y - 6x = -1 are equal.

i.e. m₁ = m₂ → 6 = 6

Thus, the lines y - 5 = 6x and y - 6x = -1 are paralle.

6)

  • y = 3х + 9

Comparing with y=mx+b, the slope of y = 3х + 9:

m₁=3  

  • y = -1/3x - 4

Comparing with y=mx+b, the slope of y =  1/3x - 4:

m₂=1/3

As m₁ and m₂ are neither equal nor their product is -1, hence the lines neither perpendicular nor parallel.

8 0
2 years ago
What is the answer to |4r−12| , if r<3?
Sav [38]

Answer:

Step-by-step explanation:

|4r−12| = -(4r-12)  when 4r-12< 0

4r< 12 so r<3

7 0
3 years ago
(p2+3p+6)+(2p2+6p+6) Please get this right. AND DON'T SPAM!
gayaneshka [121]

(p² + 3p + 6) + (2p² + 6p + 6)

First you must combine (aka sum) like terms. Like terms are numbers that have matching variables OR are numbers with out variables OR have matching variables with matching exponents. In this case the like terms are p² and 2p² (they both have the exponent p that is squared); 3p and 6p (they both have the variable p attached); and 6 and 6 (both numbers without variables)

(p² + 2p²) + (3p + 6p) + (6 + 6)

3p² + 9p + 12

Hope this helped!

~Just a girl in love with Shawn Mendes

6 0
3 years ago
If the relationship is proportional, what is the missing value from the table? -18 -15 15 18
Goryan [66]

Answer:

Its -15 (B.)

Step-by-step explanation:

Just took the test and trying to help you out love.

3 0
3 years ago
Read 2 more answers
Other questions:
  • See if you guys can figure this out.
    12·1 answer
  • based on the given information which theorem could be used to prove that angle PQR is greater than or equal to angle TSR? QR is
    12·1 answer
  • Solve the given problem. Zara is six years older than half Gary’s age. If Gary is four years old, how old is Zara?
    14·1 answer
  • A gardener has three rectangular plots that are adjacent to each other. She has 120 yards of fencing and the total area of the p
    7·1 answer
  • you travel 50 miles in 4 hours what is your average speed of travel over the 4 hours in miles per hour
    10·1 answer
  • Question 3
    7·1 answer
  • 10= s/2-7 to a whole number.
    8·2 answers
  • 5. Each polygon circumscribes a circle. Find the perimeter.
    8·1 answer
  • -2x +8 &lt; 42 <br> plz help solve for x<br> BRAINLIEST
    7·1 answer
  • Jason worked three more hours than Keith. Jason worked 12 hours. Which equation represents the situation, if K is the number of
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!