Ln(x-3)-ln(x+2)=0

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Solution for Ln(x-3)-ln(x+2)=0 equation: 


Simplifying
Ln(x + -3) + -1ln(x + 2) = 0

Reorder the terms:
nL(-3 + x) + -1ln(x + 2) = 0
(-3 * nL + x * nL) + -1ln(x + 2) = 0
(-3nL + nxL) + -1ln(x + 2) = 0

Reorder the terms:
-3nL + nxL + -1ln(2 + x) = 0
-3nL + nxL + (2 * -1ln + x * -1ln) = 0
-3nL + nxL + (-2ln + -1lnx) = 0

Reorder the terms:
-2ln + -1lnx + -3nL + nxL = 0

Solving
-2ln + -1lnx + -3nL + nxL = 0

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.
-2ln + -1lnx + -3nL + 3nL + nxL = 0 + 3nL

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

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), 'n'.
n(-2l + -1lx + -3L + xL) = 0


Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Add '-1n' to each side of the equation.
n + -1n = 0 + -1n
Remove the zero:
0 = -1n

Simplifying
0 = -1n

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(-2l + -1lx + -3L + xL)' equal to zero and attempt to solve:

Simplifying
-2l + -1lx + -3L + xL = 0

Reorder the terms:
-3L + -2l + -1lx + xL = 0

Solving
-3L + -2l + -1lx + xL = 0

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

Add '3L' to each side of the equation.
-3L + -2l + -1lx + 3L + xL = 0 + 3L

Reorder the terms:
-3L + 3L + -2l + -1lx + xL = 0 + 3L

Combine like terms: -3L + 3L = 0
0 + -2l + -1lx + xL = 0 + 3L
-2l + -1lx + xL = 0 + 3L
Remove the zero:
-2l + -1lx + xL = 3L

Add '-1xL' to each side of the equation.
-2l + -1lx + xL + -1xL = 3L + -1xL

Combine like terms: xL + -1xL = 0
-2l + -1lx + 0 = 3L + -1xL
-2l + -1lx = 3L + -1xL

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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