Ln(x-7)-ln(12)=4

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Solution for Ln(x-7)-ln(12)=4 equation: 


Simplifying
Ln(x + -7) + -1ln(12) = 4

Reorder the terms:
nL(-7 + x) + -1ln(12) = 4
(-7 * nL + x * nL) + -1ln(12) = 4
(-7nL + nxL) + -1ln(12) = 4

Reorder the terms for easier multiplication:
-7nL + nxL + -1 * 12ln = 4

Multiply -1 * 12
-7nL + nxL + -12ln = 4

Reorder the terms:
-12ln + -7nL + nxL = 4

Solving
-12ln + -7nL + nxL = 4

Solving for variable 'l'.

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

Add '7nL' to each side of the equation.
-12ln + -7nL + 7nL + nxL = 4 + 7nL

Combine like terms: -7nL + 7nL = 0
-12ln + 0 + nxL = 4 + 7nL
-12ln + nxL = 4 + 7nL

Add '-1nxL' to each side of the equation.
-12ln + nxL + -1nxL = 4 + 7nL + -1nxL

Combine like terms: nxL + -1nxL = 0
-12ln + 0 = 4 + 7nL + -1nxL
-12ln = 4 + 7nL + -1nxL

Divide each side by '-12n'.
l = -0.3333333333n-1 + -0.5833333333L + 0.08333333333xL

Simplifying
l = -0.3333333333n-1 + -0.5833333333L + 0.08333333333xL

Reorder the terms:
l = -0.5833333333L + -0.3333333333n-1 + 0.08333333333xL

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