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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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Anastaziya [24]
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Answer:

→ The table is:

→  x  →  -1   →  0  →  1

→  y  →  -3  →  0  →  3

The graph of the line is figure d

Step-by-step explanation:

∵ y = 3x

∵ x = -1, 0, 1

→ Substitute the values of x in the equation to find the values of y

∴ y = 3(-1) = -3

∴ y = 3(0) = 0

∴ y = 3(1) = 3

→ The table is:

→  x  →  -1   →  0  →  1

→  y  →  -3  →  0  →  3

∵ The form of the linear equation is y = m x + b, where

  • m is the slope
  • b is the y-intercept

∵ y = 3x

→ Compare the equation with the form

∴ m = 3

∴ b = 0

→ That means the slope is positive, then the direction of the line must

   be from left tp right and passes through the origin

∴ The graph of the line is figure d

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