ln(x^2+4x-5)-ln(x+5)=1

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Solution for ln(x^2+4x-5)-ln(x+5)=1 equation: 


Simplifying
ln(x2 + 4x + -5) + -1ln(x + 5) = 1

Reorder the terms:
ln(-5 + 4x + x2) + -1ln(x + 5) = 1
(-5 * ln + 4x * ln + x2 * ln) + -1ln(x + 5) = 1
(-5ln + 4lnx + lnx2) + -1ln(x + 5) = 1

Reorder the terms:
-5ln + 4lnx + lnx2 + -1ln(5 + x) = 1
-5ln + 4lnx + lnx2 + (5 * -1ln + x * -1ln) = 1
-5ln + 4lnx + lnx2 + (-5ln + -1lnx) = 1

Reorder the terms:
-5ln + -5ln + 4lnx + -1lnx + lnx2 = 1

Combine like terms: -5ln + -5ln = -10ln
-10ln + 4lnx + -1lnx + lnx2 = 1

Combine like terms: 4lnx + -1lnx = 3lnx
-10ln + 3lnx + lnx2 = 1

Solving
-10ln + 3lnx + lnx2 = 1

Solving for variable 'l'.

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

Reorder the terms:
-1 + -10ln + 3lnx + lnx2 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -10ln + 3lnx + lnx2 = 0

The solution to this equation could not be determined.

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