ln(2x-2)-ln(x-2)=lnx

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Solution for ln(2x-2)-ln(x-2)=lnx equation:


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

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

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

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

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

Combine like terms: 2lnx + -1lnx = 1lnx
1lnx = lnx

Solving
1lnx = lnx

Solving for variable 'l'.

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

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

Combine like terms: 1lnx + -1lnx = 0
0 = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
0 = 0

Simplifying
0 = 0

The solution to this equation could not be determined.

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