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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}
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3 years ago
3x + 6y = 4y - 4
gulaghasi [49]

Answer: y = 2/3x + 41/3

Step-by-step explanation:

First convert the equation into slope-intercept  

3x + 6y = 4y  - 4

      -4y    -4y

3x + 2y = -4

-3x            -3x

  2y = -3x - 4

  y = -3/2x - 2  

Perpendicular lines have a negative reciprocal for their slopes.

The negative reciprocal of -3/2  is   2/3

Now using the slope 2/3 you will use the formula  y =mx +b  and input the  slope, and the x and y coordinates of the given point, (-10,7), to solve for the y-intercept.

  7 = 2/3(-10) + b

 7 = -20/ 3 + b  

+ 20/3   + 20/3

  b =  20/3 + 21/3 = 41/3  

Since the the y-intercept is 41/3 then the equation will be , y = 2/3x + 41/3

   

4 0
3 years ago
Write an equation for the proportional relationship shown in the table
Papessa [141]

Answer:

y =74x

Step-by-step explanation:

A proportional relationship is represented by y = kx where x is the independent variable, or input, k is the constant of proportionality, and y is the dependent variable or output.

What do we do to the values in the row for x to get the values in the row of y?

It helps to have x = 1 in this table.

74 = (k)(1)

74 = k

8 0
3 years ago
Solve for x for #5 and 6
Alex777 [14]

Answer:

In 5:

UM and MS are equal since the diagonals US and VT have perpendicularly bisected each other.

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18=6x

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In 6:

ET=TC

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7 0
3 years ago
Expand and simplify (k-3)^7
nikklg [1K]
There are a couple of ways you can solve this. You can write it out like
(K-3)(K-3)(K-3)(K-3)(K-3)(K-3)(K-3)
And pretty much use the foil method
Or you can use the binomial theorem (google it if you dont know)
The solution should be:
(K^7) - 21(k^6) + 189(k^5) - 945(k^4) + 2835(k^3) - 5103(k^2) + 5103k - 2187
3 0
3 years ago
Read 2 more answers
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