Ln(4x+6)-ln(3)=12

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Solution for Ln(4x+6)-ln(3)=12 equation: 


Simplifying
Ln(4x + 6) + -1ln(3) = 12

Reorder the terms:
nL(6 + 4x) + -1ln(3) = 12
(6 * nL + 4x * nL) + -1ln(3) = 12
(6nL + 4nxL) + -1ln(3) = 12

Reorder the terms for easier multiplication:
6nL + 4nxL + -1 * 3ln = 12

Multiply -1 * 3
6nL + 4nxL + -3ln = 12

Reorder the terms:
-3ln + 6nL + 4nxL = 12

Solving
-3ln + 6nL + 4nxL = 12

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.
-3ln + 6nL + -6nL + 4nxL = 12 + -6nL

Combine like terms: 6nL + -6nL = 0
-3ln + 0 + 4nxL = 12 + -6nL
-3ln + 4nxL = 12 + -6nL

Add '-4nxL' to each side of the equation.
-3ln + 4nxL + -4nxL = 12 + -6nL + -4nxL

Combine like terms: 4nxL + -4nxL = 0
-3ln + 0 = 12 + -6nL + -4nxL
-3ln = 12 + -6nL + -4nxL

Divide each side by '-3n'.
l = -4n-1 + 2L + 1.333333333xL

Simplifying
l = -4n-1 + 2L + 1.333333333xL

Reorder the terms:
l = 2L + -4n-1 + 1.333333333xL

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