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

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


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

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

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

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

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

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

Solving
2ln = -3ln

Solving for variable 'l'.

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

Add '3ln' to each side of the equation.
2ln + 3ln = -3ln + 3ln

Combine like terms: 2ln + 3ln = 5ln
5ln = -3ln + 3ln

Combine like terms: -3ln + 3ln = 0
5ln = 0

Divide each side by '5'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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