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

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


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

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

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

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

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

Solving
-2ln = 1ln

Solving for variable 'l'.

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

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

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

Combine like terms: 1ln + -1ln = 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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