Ln(x-4)=6-Ln(x)

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Solution for Ln(x-4)=6-Ln(x) equation:


Simplifying
Ln(x + -4) = 6 + -1Ln(x)

Reorder the terms:
nL(-4 + x) = 6 + -1Ln(x)
(-4 * nL + x * nL) = 6 + -1Ln(x)
(-4nL + nxL) = 6 + -1Ln(x)

Multiply nL * x
-4nL + nxL = 6 + -1nxL

Solving
-4nL + nxL = 6 + -1nxL

Solving for variable 'n'.

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

Add 'nxL' to each side of the equation.
-4nL + nxL + nxL = 6 + -1nxL + nxL

Combine like terms: nxL + nxL = 2nxL
-4nL + 2nxL = 6 + -1nxL + nxL

Combine like terms: -1nxL + nxL = 0
-4nL + 2nxL = 6 + 0
-4nL + 2nxL = 6

Reorder the terms:
-6 + -4nL + 2nxL = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + -4nL + 2nxL = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + -2nL + nxL) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-3 + -2nL + nxL)' equal to zero and attempt to solve: Simplifying -3 + -2nL + nxL = 0 Solving -3 + -2nL + nxL = 0 Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -2nL + 3 + nxL = 0 + 3 Reorder the terms: -3 + 3 + -2nL + nxL = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2nL + nxL = 0 + 3 -2nL + nxL = 0 + 3 Combine like terms: 0 + 3 = 3 -2nL + nxL = 3 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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