ln(2x+4)-4=ln(x-1)-2

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Solution for ln(2x+4)-4=ln(x-1)-2 equation: 


Simplifying
ln(2x + 4) + -4 = ln(x + -1) + -2

Reorder the terms:
ln(4 + 2x) + -4 = ln(x + -1) + -2
(4 * ln + 2x * ln) + -4 = ln(x + -1) + -2
(4ln + 2lnx) + -4 = ln(x + -1) + -2

Reorder the terms:
-4 + 4ln + 2lnx = ln(x + -1) + -2

Reorder the terms:
-4 + 4ln + 2lnx = ln(-1 + x) + -2
-4 + 4ln + 2lnx = (-1 * ln + x * ln) + -2
-4 + 4ln + 2lnx = (-1ln + lnx) + -2

Reorder the terms:
-4 + 4ln + 2lnx = -2 + -1ln + lnx

Solving
-4 + 4ln + 2lnx = -2 + -1ln + lnx

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add 'ln' to each side of the equation.
-4 + 4ln + ln + 2lnx = -2 + -1ln + ln + lnx

Combine like terms: 4ln + ln = 5ln
-4 + 5ln + 2lnx = -2 + -1ln + ln + lnx

Combine like terms: -1ln + ln = 0
-4 + 5ln + 2lnx = -2 + 0 + lnx
-4 + 5ln + 2lnx = -2 + lnx

Add '-1lnx' to each side of the equation.
-4 + 5ln + 2lnx + -1lnx = -2 + lnx + -1lnx

Combine like terms: 2lnx + -1lnx = 1lnx
-4 + 5ln + 1lnx = -2 + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-4 + 5ln + 1lnx = -2 + 0
-4 + 5ln + 1lnx = -2

Add '4' to each side of the equation.
-4 + 5ln + 4 + 1lnx = -2 + 4

Reorder the terms:
-4 + 4 + 5ln + 1lnx = -2 + 4

Combine like terms: -4 + 4 = 0
0 + 5ln + 1lnx = -2 + 4
5ln + 1lnx = -2 + 4

Combine like terms: -2 + 4 = 2
5ln + 1lnx = 2

Reorder the terms:
-2 + 5ln + 1lnx = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 5ln + 1lnx = 0

The solution to this equation could not be determined.

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