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

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


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

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

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

Combine like terms: 2lnx + -1lnx = 1lnx
1ln + 1lnx = ln(x + -2)

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

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

Solving for variable 'l'.

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

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

Combine like terms: 1ln + 2ln = 3ln
3ln + 1lnx = -2ln + 2ln + lnx

Combine like terms: -2ln + 2ln = 0
3ln + 1lnx = 0 + lnx
3ln + 1lnx = lnx

Add '-1lnx' to each side of the equation.
3ln + 1lnx + -1lnx = lnx + -1lnx

Combine like terms: 1lnx + -1lnx = 0
3ln + 0 = lnx + -1lnx
3ln = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
3ln = 0

Divide each side by '3'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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