Ln(x-2)+ln(x-5)=ln(1)

Solution for Ln(x-2)+ln(x-5)=ln(1) equation:

Simplifying
Ln(x + -2) + ln(x + -5) = ln(1)

Reorder the terms:
nL(-2 + x) + ln(x + -5) = ln(1)
(-2 * nL + x * nL) + ln(x + -5) = ln(1)
(-2nL + nxL) + ln(x + -5) = ln(1)

Reorder the terms:
-2nL + nxL + ln(-5 + x) = ln(1)
-2nL + nxL + (-5 * ln + x * ln) = ln(1)
-2nL + nxL + (-5ln + lnx) = ln(1)

Reorder the terms:
-5ln + lnx + -2nL + nxL = ln(1)

Reorder the terms for easier multiplication:
-5ln + lnx + -2nL + nxL = 1ln

Solving
-5ln + lnx + -2nL + nxL = 1ln

Solving for variable 'l'.

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

Add '-1ln' to each side of the equation.
-5ln + lnx + -2nL + -1ln + nxL = 1ln + -1ln

Reorder the terms:
-5ln + -1ln + lnx + -2nL + nxL = 1ln + -1ln

Combine like terms: -5ln + -1ln = -6ln
-6ln + lnx + -2nL + nxL = 1ln + -1ln

Combine like terms: 1ln + -1ln = 0
-6ln + lnx + -2nL + nxL = 0

Add '2nL' to each side of the equation.
-6ln + lnx + -2nL + 2nL + nxL = 0 + 2nL

Combine like terms: -2nL + 2nL = 0
-6ln + lnx + 0 + nxL = 0 + 2nL
-6ln + lnx + nxL = 0 + 2nL
Remove the zero:
-6ln + lnx + nxL = 2nL

Add '-1nxL' to each side of the equation.
-6ln + lnx + nxL + -1nxL = 2nL + -1nxL

Combine like terms: nxL + -1nxL = 0
-6ln + lnx + 0 = 2nL + -1nxL
-6ln + lnx = 2nL + -1nxL

Reorder the terms:
-6ln + lnx + -2nL + nxL = 2nL + -2nL + -1nxL + nxL

Combine like terms: 2nL + -2nL = 0
-6ln + lnx + -2nL + nxL = 0 + -1nxL + nxL
-6ln + lnx + -2nL + nxL = -1nxL + nxL

Combine like terms: -1nxL + nxL = 0
-6ln + lnx + -2nL + nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-6l + lx + -2L + 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 '(-6l + lx + -2L + xL)' equal to zero and attempt to solve:

Simplifying
-6l + lx + -2L + xL = 0

Reorder the terms:
-2L + -6l + lx + xL = 0

Solving
-2L + -6l + lx + xL = 0

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

Add '2L' to each side of the equation.
-2L + -6l + lx + 2L + xL = 0 + 2L

Reorder the terms:
-2L + 2L + -6l + lx + xL = 0 + 2L

Combine like terms: -2L + 2L = 0
0 + -6l + lx + xL = 0 + 2L
-6l + lx + xL = 0 + 2L
Remove the zero:
-6l + lx + xL = 2L

Add '-1xL' to each side of the equation.
-6l + lx + xL + -1xL = 2L + -1xL

Combine like terms: xL + -1xL = 0
-6l + lx + 0 = 2L + -1xL
-6l + lx = 2L + -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.