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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