Ln(x-6)-ln(5)=1

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Solution for Ln(x-6)-ln(5)=1 equation: 


Simplifying
Ln(x + -6) + -1ln(5) = 1

Reorder the terms:
nL(-6 + x) + -1ln(5) = 1
(-6 * nL + x * nL) + -1ln(5) = 1
(-6nL + nxL) + -1ln(5) = 1

Reorder the terms for easier multiplication:
-6nL + nxL + -1 * 5ln = 1

Multiply -1 * 5
-6nL + nxL + -5ln = 1

Reorder the terms:
-5ln + -6nL + nxL = 1

Solving
-5ln + -6nL + nxL = 1

Solving for variable 'l'.

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

Add '6nL' to each side of the equation.
-5ln + -6nL + 6nL + nxL = 1 + 6nL

Combine like terms: -6nL + 6nL = 0
-5ln + 0 + nxL = 1 + 6nL
-5ln + nxL = 1 + 6nL

Add '-1nxL' to each side of the equation.
-5ln + nxL + -1nxL = 1 + 6nL + -1nxL

Combine like terms: nxL + -1nxL = 0
-5ln + 0 = 1 + 6nL + -1nxL
-5ln = 1 + 6nL + -1nxL

Divide each side by '-5n'.
l = -0.2n-1 + -1.2L + 0.2xL

Simplifying
l = -0.2n-1 + -1.2L + 0.2xL

Reorder the terms:
l = -1.2L + -0.2n-1 + 0.2xL

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