ln(4x-2)-ln(2x-2)-2=0

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Solution for ln(4x-2)-ln(2x-2)-2=0 equation:


Simplifying
ln(4x + -2) + -1ln(2x + -2) + -2 = 0

Reorder the terms:
ln(-2 + 4x) + -1ln(2x + -2) + -2 = 0
(-2 * ln + 4x * ln) + -1ln(2x + -2) + -2 = 0
(-2ln + 4lnx) + -1ln(2x + -2) + -2 = 0

Reorder the terms:
-2ln + 4lnx + -1ln(-2 + 2x) + -2 = 0
-2ln + 4lnx + (-2 * -1ln + 2x * -1ln) + -2 = 0
-2ln + 4lnx + (2ln + -2lnx) + -2 = 0

Reorder the terms:
-2 + -2ln + 2ln + 4lnx + -2lnx = 0

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

Combine like terms: 4lnx + -2lnx = 2lnx
-2 + 2lnx = 0

Solving
-2 + 2lnx = 0

Solving for variable 'l'.

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

Add '2' to each side of the equation.
-2 + 2 + 2lnx = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 2lnx = 0 + 2
2lnx = 0 + 2

Combine like terms: 0 + 2 = 2
2lnx = 2

Divide each side by '2nx'.
l = n-1x-1

Simplifying
l = n-1x-1

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