Ln(2x-3)-ln(x+1)=2

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Solution for Ln(2x-3)-ln(x+1)=2 equation: 


Simplifying
Ln(2x + -3) + -1ln(x + 1) = 2

Reorder the terms:
nL(-3 + 2x) + -1ln(x + 1) = 2
(-3 * nL + 2x * nL) + -1ln(x + 1) = 2
(-3nL + 2nxL) + -1ln(x + 1) = 2

Reorder the terms:
-3nL + 2nxL + -1ln(1 + x) = 2
-3nL + 2nxL + (1 * -1ln + x * -1ln) = 2
-3nL + 2nxL + (-1ln + -1lnx) = 2

Reorder the terms:
-1ln + -1lnx + -3nL + 2nxL = 2

Solving
-1ln + -1lnx + -3nL + 2nxL = 2

Solving for variable 'l'.

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

Add '3nL' to each side of the equation.
-1ln + -1lnx + -3nL + 3nL + 2nxL = 2 + 3nL

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

Add '-2nxL' to each side of the equation.
-1ln + -1lnx + 2nxL + -2nxL = 2 + 3nL + -2nxL

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

Reorder the terms:
-2 + -1ln + -1lnx + -3nL + 2nxL = 2 + 3nL + -2nxL + -2 + -3nL + 2nxL

Reorder the terms:
-2 + -1ln + -1lnx + -3nL + 2nxL = 2 + -2 + 3nL + -3nL + -2nxL + 2nxL

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

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

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

The solution to this equation could not be determined.

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