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

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


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

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

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

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

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

Solving for variable 'n'.

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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