Ln(4x-4)-ln(5)=4

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Solution for Ln(4x-4)-ln(5)=4 equation: 


Simplifying
Ln(4x + -4) + -1ln(5) = 4

Reorder the terms:
nL(-4 + 4x) + -1ln(5) = 4
(-4 * nL + 4x * nL) + -1ln(5) = 4
(-4nL + 4nxL) + -1ln(5) = 4

Reorder the terms for easier multiplication:
-4nL + 4nxL + -1 * 5ln = 4

Multiply -1 * 5
-4nL + 4nxL + -5ln = 4

Reorder the terms:
-5ln + -4nL + 4nxL = 4

Solving
-5ln + -4nL + 4nxL = 4

Solving for variable 'l'.

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

Add '4nL' to each side of the equation.
-5ln + -4nL + 4nL + 4nxL = 4 + 4nL

Combine like terms: -4nL + 4nL = 0
-5ln + 0 + 4nxL = 4 + 4nL
-5ln + 4nxL = 4 + 4nL

Add '-4nxL' to each side of the equation.
-5ln + 4nxL + -4nxL = 4 + 4nL + -4nxL

Combine like terms: 4nxL + -4nxL = 0
-5ln + 0 = 4 + 4nL + -4nxL
-5ln = 4 + 4nL + -4nxL

Divide each side by '-5n'.
l = -0.8n-1 + -0.8L + 0.8xL

Simplifying
l = -0.8n-1 + -0.8L + 0.8xL

Reorder the terms:
l = -0.8L + -0.8n-1 + 0.8xL

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