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

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


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

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

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

Reorder the terms:
2ln + -1lnx + 5nL + nxL = 1

Solving
2ln + -1lnx + 5nL + nxL = 1

Solving for variable 'l'.

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

Add '-5nL' to each side of the equation.
2ln + -1lnx + 5nL + -5nL + nxL = 1 + -5nL

Combine like terms: 5nL + -5nL = 0
2ln + -1lnx + 0 + nxL = 1 + -5nL
2ln + -1lnx + nxL = 1 + -5nL

Add '-1nxL' to each side of the equation.
2ln + -1lnx + nxL + -1nxL = 1 + -5nL + -1nxL

Combine like terms: nxL + -1nxL = 0
2ln + -1lnx + 0 = 1 + -5nL + -1nxL
2ln + -1lnx = 1 + -5nL + -1nxL

Reorder the terms:
-1 + 2ln + -1lnx + 5nL + nxL = 1 + -5nL + -1nxL + -1 + 5nL + nxL

Reorder the terms:
-1 + 2ln + -1lnx + 5nL + nxL = 1 + -1 + -5nL + 5nL + -1nxL + nxL

Combine like terms: 1 + -1 = 0
-1 + 2ln + -1lnx + 5nL + nxL = 0 + -5nL + 5nL + -1nxL + nxL
-1 + 2ln + -1lnx + 5nL + nxL = -5nL + 5nL + -1nxL + nxL

Combine like terms: -5nL + 5nL = 0
-1 + 2ln + -1lnx + 5nL + nxL = 0 + -1nxL + nxL
-1 + 2ln + -1lnx + 5nL + nxL = -1nxL + nxL

Combine like terms: -1nxL + nxL = 0
-1 + 2ln + -1lnx + 5nL + nxL = 0

The solution to this equation could not be determined.

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