ln(x-1)=ln(x+5)

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Solution for ln(x-1)=ln(x+5) equation:


Simplifying
ln(x + -1) = ln(x + 5)

Reorder the terms:
ln(-1 + x) = ln(x + 5)
(-1 * ln + x * ln) = ln(x + 5)
(-1ln + lnx) = ln(x + 5)

Reorder the terms:
-1ln + lnx = ln(5 + x)
-1ln + lnx = (5 * ln + x * ln)
-1ln + lnx = (5ln + lnx)

Add '-1lnx' to each side of the equation.
-1ln + lnx + -1lnx = 5ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-1ln + 0 = 5ln + lnx + -1lnx
-1ln = 5ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-1ln = 5ln + 0
-1ln = 5ln

Solving
-1ln = 5ln

Solving for variable 'l'.

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

Add '-5ln' to each side of the equation.
-1ln + -5ln = 5ln + -5ln

Combine like terms: -1ln + -5ln = -6ln
-6ln = 5ln + -5ln

Combine like terms: 5ln + -5ln = 0
-6ln = 0

Divide each side by '-6'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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