Ln(4x+1)-ln*3=5

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Solution for Ln(4x+1)-ln*3=5 equation: 


Simplifying
Ln(4x + 1) + -1ln * 3 = 5

Reorder the terms:
nL(1 + 4x) + -1ln * 3 = 5
(1 * nL + 4x * nL) + -1ln * 3 = 5
(1nL + 4nxL) + -1ln * 3 = 5

Reorder the terms for easier multiplication:
1nL + 4nxL + -1 * 3ln = 5

Multiply -1 * 3
1nL + 4nxL + -3ln = 5

Reorder the terms:
-3ln + 1nL + 4nxL = 5

Solving
-3ln + 1nL + 4nxL = 5

Solving for variable 'l'.

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

Add '-1nL' to each side of the equation.
-3ln + 1nL + -1nL + 4nxL = 5 + -1nL

Combine like terms: 1nL + -1nL = 0
-3ln + 0 + 4nxL = 5 + -1nL
-3ln + 4nxL = 5 + -1nL

Add '-4nxL' to each side of the equation.
-3ln + 4nxL + -4nxL = 5 + -1nL + -4nxL

Combine like terms: 4nxL + -4nxL = 0
-3ln + 0 = 5 + -1nL + -4nxL
-3ln = 5 + -1nL + -4nxL

Divide each side by '-3n'.
l = -1.666666667n-1 + 0.3333333333L + 1.333333333xL

Simplifying
l = -1.666666667n-1 + 0.3333333333L + 1.333333333xL

Reorder the terms:
l = 0.3333333333L + -1.666666667n-1 + 1.333333333xL

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