Ln(x+2)=ln(x-4)+ln-3

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Solution for Ln(x+2)=ln(x-4)+ln-3 equation:


Simplifying
Ln(x + 2) = ln(x + -4) + ln + -3

Reorder the terms:
nL(2 + x) = ln(x + -4) + ln + -3
(2 * nL + x * nL) = ln(x + -4) + ln + -3
(2nL + nxL) = ln(x + -4) + ln + -3

Reorder the terms:
2nL + nxL = ln(-4 + x) + ln + -3
2nL + nxL = (-4 * ln + x * ln) + ln + -3
2nL + nxL = (-4ln + lnx) + ln + -3

Reorder the terms:
2nL + nxL = -3 + -4ln + ln + lnx

Combine like terms: -4ln + ln = -3ln
2nL + nxL = -3 + -3ln + lnx

Solving
2nL + nxL = -3 + -3ln + lnx

Solving for variable 'n'.

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

Add '3ln' to each side of the equation.
2nL + 3ln + nxL = -3 + -3ln + 3ln + lnx

Reorder the terms:
3ln + 2nL + nxL = -3 + -3ln + 3ln + lnx

Combine like terms: -3ln + 3ln = 0
3ln + 2nL + nxL = -3 + 0 + lnx
3ln + 2nL + nxL = -3 + lnx

Add '-1lnx' to each side of the equation.
3ln + 2nL + -1lnx + nxL = -3 + lnx + -1lnx

Reorder the terms:
3ln + -1lnx + 2nL + nxL = -3 + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
3ln + -1lnx + 2nL + nxL = -3 + 0
3ln + -1lnx + 2nL + nxL = -3

Reorder the terms:
3 + 3ln + -1lnx + 2nL + nxL = -3 + 3

Combine like terms: -3 + 3 = 0
3 + 3ln + -1lnx + 2nL + nxL = 0

The solution to this equation could not be determined.

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