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

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


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

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

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

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

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

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

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

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

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

Divide each side by '-4n'.
l = -1n-1 + -1.75L + 0.25xL

Simplifying
l = -1n-1 + -1.75L + 0.25xL

Reorder the terms:
l = -1.75L + -1n-1 + 0.25xL

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