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

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


Simplifying
ln(x + 5) + ln(x + -1) = (x + 2)

Reorder the terms:
ln(5 + x) + ln(x + -1) = (x + 2)
(5 * ln + x * ln) + ln(x + -1) = (x + 2)
(5ln + lnx) + ln(x + -1) = (x + 2)

Reorder the terms:
5ln + lnx + ln(-1 + x) = (x + 2)
5ln + lnx + (-1 * ln + x * ln) = (x + 2)
5ln + lnx + (-1ln + lnx) = (x + 2)

Reorder the terms:
5ln + -1ln + lnx + lnx = (x + 2)

Combine like terms: 5ln + -1ln = 4ln
4ln + lnx + lnx = (x + 2)

Combine like terms: lnx + lnx = 2lnx
4ln + 2lnx = (x + 2)

Reorder the terms:
4ln + 2lnx = (2 + x)

Remove parenthesis around (2 + x)
4ln + 2lnx = 2 + x

Solving
4ln + 2lnx = 2 + x

Solving for variable 'l'.

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

Reorder the terms:
-2 + 4ln + 2lnx + -1x = 2 + x + -2 + -1x

Reorder the terms:
-2 + 4ln + 2lnx + -1x = 2 + -2 + x + -1x

Combine like terms: 2 + -2 = 0
-2 + 4ln + 2lnx + -1x = 0 + x + -1x
-2 + 4ln + 2lnx + -1x = x + -1x

Combine like terms: x + -1x = 0
-2 + 4ln + 2lnx + -1x = 0

The solution to this equation could not be determined.

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