ln(x-4)=(lnx)-4

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Solution for ln(x-4)=(lnx)-4 equation:


Simplifying
ln(x + -4) = (lnx) + -4

Reorder the terms:
ln(-4 + x) = (lnx) + -4
(-4 * ln + x * ln) = (lnx) + -4
(-4ln + lnx) = (lnx) + -4
-4ln + lnx = lnx + -4

Reorder the terms:
-4ln + lnx = -4 + lnx

Add '-1lnx' to each side of the equation.
-4ln + lnx + -1lnx = -4 + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-4ln + 0 = -4 + lnx + -1lnx
-4ln = -4 + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-4ln = -4 + 0
-4ln = -4

Solving
-4ln = -4

Solving for variable 'l'.

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

Divide each side by '-4n'.
l = n-1

Simplifying
l = n-1

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