Ln(12x)-ln(3)=5

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Solution for Ln(12x)-ln(3)=5 equation: 


Simplifying
Ln(12x) + -1ln(3) = 5

Remove parenthesis around (12x)
nL * 12x + -1ln(3) = 5

Reorder the terms for easier multiplication:
12nL * x + -1ln(3) = 5

Multiply nL * x
12nxL + -1ln(3) = 5

Reorder the terms for easier multiplication:
12nxL + -1 * 3ln = 5

Multiply -1 * 3
12nxL + -3ln = 5

Reorder the terms:
-3ln + 12nxL = 5

Solving
-3ln + 12nxL = 5

Solving for variable 'l'.

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

Add '-12nxL' to each side of the equation.
-3ln + 12nxL + -12nxL = 5 + -12nxL

Combine like terms: 12nxL + -12nxL = 0
-3ln + 0 = 5 + -12nxL
-3ln = 5 + -12nxL

Divide each side by '-3n'.
l = -1.666666667n-1 + 4xL

Simplifying
l = -1.666666667n-1 + 4xL

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