Ln(x-5)=ln(6)

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Solution for Ln(x-5)=ln(6) equation: 


Simplifying
Ln(x + -5) = ln(6)

Reorder the terms:
nL(-5 + x) = ln(6)
(-5 * nL + x * nL) = ln(6)
(-5nL + nxL) = ln(6)

Reorder the terms for easier multiplication:
-5nL + nxL = 6ln

Solving
-5nL + nxL = 6ln

Solving for variable 'n'.

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

Add '-6ln' to each side of the equation.
-5nL + -6ln + nxL = 6ln + -6ln

Reorder the terms:
-6ln + -5nL + nxL = 6ln + -6ln

Combine like terms: 6ln + -6ln = 0
-6ln + -5nL + nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-6l + -5L + 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 n to the left, all other terms to the right.

Simplifying
n = 0

Subproblem 2
Set the factor '(-6l + -5L + xL)' equal to zero and attempt to solve:

Simplifying
-6l + -5L + xL = 0

Reorder the terms:
-5L + -6l + xL = 0

Solving
-5L + -6l + xL = 0

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

Add '5L' to each side of the equation.
-5L + -6l + 5L + xL = 0 + 5L

Reorder the terms:
-5L + 5L + -6l + xL = 0 + 5L

Combine like terms: -5L + 5L = 0
0 + -6l + xL = 0 + 5L
-6l + xL = 0 + 5L
Remove the zero:
-6l + xL = 5L

Add '6l' to each side of the equation.
-6l + 6l + xL = 5L + 6l

Combine like terms: -6l + 6l = 0
0 + xL = 5L + 6l
xL = 5L + 6l

Add '-1xL' to each side of the equation.
xL + -1xL = 5L + 6l + -1xL

Combine like terms: xL + -1xL = 0
0 = 5L + 6l + -1xL

Simplifying
0 = 5L + 6l + -1xL

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}

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