In(x+2)+ln(x-2)=7

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Solution for In(x+2)+ln(x-2)=7 equation:


Simplifying
In(x + 2) + ln(x + -2) = 7

Reorder the terms:
nI(2 + x) + ln(x + -2) = 7
(2 * nI + x * nI) + ln(x + -2) = 7
(2nI + nxI) + ln(x + -2) = 7

Reorder the terms:
2nI + nxI + ln(-2 + x) = 7
2nI + nxI + (-2 * ln + x * ln) = 7
2nI + nxI + (-2ln + lnx) = 7

Reorder the terms:
-2ln + lnx + 2nI + nxI = 7

Solving
-2ln + lnx + 2nI + nxI = 7

Solving for variable 'l'.

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

Add '-2nI' to each side of the equation.
-2ln + lnx + 2nI + -2nI + nxI = 7 + -2nI

Combine like terms: 2nI + -2nI = 0
-2ln + lnx + 0 + nxI = 7 + -2nI
-2ln + lnx + nxI = 7 + -2nI

Add '-1nxI' to each side of the equation.
-2ln + lnx + nxI + -1nxI = 7 + -2nI + -1nxI

Combine like terms: nxI + -1nxI = 0
-2ln + lnx + 0 = 7 + -2nI + -1nxI
-2ln + lnx = 7 + -2nI + -1nxI

Reorder the terms:
-7 + -2ln + lnx + 2nI + nxI = 7 + -2nI + -1nxI + -7 + 2nI + nxI

Reorder the terms:
-7 + -2ln + lnx + 2nI + nxI = 7 + -7 + -2nI + 2nI + -1nxI + nxI

Combine like terms: 7 + -7 = 0
-7 + -2ln + lnx + 2nI + nxI = 0 + -2nI + 2nI + -1nxI + nxI
-7 + -2ln + lnx + 2nI + nxI = -2nI + 2nI + -1nxI + nxI

Combine like terms: -2nI + 2nI = 0
-7 + -2ln + lnx + 2nI + nxI = 0 + -1nxI + nxI
-7 + -2ln + lnx + 2nI + nxI = -1nxI + nxI

Combine like terms: -1nxI + nxI = 0
-7 + -2ln + lnx + 2nI + nxI = 0

The solution to this equation could not be determined.

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