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
blsea [12.9K]
3 years ago
11

How do i solve y=ln(2x)

Mathematics
1 answer:
loris [4]3 years ago
5 0
As we know, e and ln(x) are inverses of each other. We can use this to our advantage by having e as a base, and raising both the sides of the equation:
e^{y} = e^{ln(2x)}

This simplifies down to (using ln(x) properties):
e^y = 2x

Solve for x to get:
x =  \frac{e^y}{2}
You might be interested in
Find the point of intersection of each pair of lines using substitution
lyudmila [28]

Answer:

ok ok ok ok ok ok o kom ko ko ko ko ko komk ko ko ko k kokok ok ok ok ok ok ok ok ok o-k ok ok

Step-by-step explanation:

3 0
2 years ago
Please help please help
Romashka [77]

Step-by-step explanation:

\frac{-x^{2}+9}{x+3} \\ \\ \frac{-(x^{2}-9)}{x+3} \\ \\ \frac{-(x-3)(x+3)}{x+3} \\ \\ -x(x-3)

4 0
2 years ago
Can someone help me for this question please? I just keep getting wrong answer! Pls someone explain to me step by step! ASAP!!!
Kobotan [32]

Answer:

  84 feet

Step-by-step explanation:

This problem involves several steps. The first step is to realize that the given figure does not show the required number of vertical stringers. It shows 5, but there will be 7 of them. The given diagram is helpful in that it shows a vertical stringer on the centerline of the arches.

The second step is to write a function that will tell you how long the stringer will be. I find it convenient to write the equation for an arch shape such as this using the parent function h(x) = 1-x^2. This parent function gives an arch of height 1 and width 1 from center (a total width of 2). You want an arch that is 16 ft high and 40 ft wide (one side from center), so you must scale this parent function both horizontally (by 40) and vertically (by 16). It becomes ...

  H(x) = 16(1 -(x/40)^2)

The taller arch is twice this height, so the length of a vertical stringer at position x is

  vertical length = 2H(x) -H(x) = H(x)

That is, the function H(x) we defined can be used to find the length of the stringers.

The third step is to find the stringer lengths. It can save some energy if you realize that the problem is symmetrical, so that the stringer at x=-30 is the same length as the one at x=30. We need to find stringer lengths every 10 feet from -40 feet to +40 feet. Of course, the ones at ±40 feet are zero length, because that is where the two arches meet.

  H(-30) = 16(1 -(3/4)^2) = 7

  H(-20) = 16(1 -(1/2)^2) = 12

  H(-10) = 16(1 -(1/4)^2) = 15

  H(0) = 16

Then the fourth step is to add up the stringer lengths, rounding the result as required.

  7 +12 +15 +16 +15 +12 +7 = 16 + 2(34) = 84 . . . . feet (no rounding needed)

Finally, you need to answer the question asked:

  The sum of vertical stringer lengths is 84 feet.

5 0
3 years ago
An airplane flies 80 km in 10 minutes and then flies 100 km in 20 minutes what is the average speed
Eddi Din [679]
The average speed = (speed 1 + speed 2)/2
the average speed = (80/10 + 100/20)/2
the average speed = (8 + 5)/2
the average speed = 13/2
the average speed = 6.5 km/minute
8 0
3 years ago
Describe how to plot the point (-1, -2)
svetoff [14.1K]
Answer:To plot the point you would start with -1 so you would go to the left till you reach -1 then to plot -2 you would go DOWN till you reach -2 Detail:the first number is ALWAYS how many times you go left or right the second number determine if you go up or down and negatives are always left and down and positive are always right and up unless you have 1,-5 then it’s to the right down and if you have -5, 7 you go left and up :3 hope this helps
5 0
2 years ago
Other questions:
  • Please help me with this
    15·1 answer
  • Consider this system of equations. Which shows the first equation written in slope-intercept form? 1/2(2y+10)=7x
    13·2 answers
  • Dividing mixed fractions
    14·1 answer
  • What is the value of x?<br><br> Please answer ASAP
    9·2 answers
  • Researchers report that on average freshman who live on campus gain 15 pounds during their first year in college. You survey 10
    12·1 answer
  • HELP PLEASE :) What is the DIFFERENCE between COMBINING LIKE TERMS and using PROPERTIES OF EXPONENTS?
    5·1 answer
  • Simplify this please!
    11·2 answers
  • Draw two intersecting line segment AB and CD intersecting at O. Measure the size of each pair of vertically opposite angles. Ver
    5·1 answer
  • Help pleaseeeee help ;))
    14·1 answer
  • Factor each polynomial x^2-9x+10 <br> Show your work
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!