ln(x+8)+(x-8)=ln(6)

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Solution for ln(x+8)+(x-8)=ln(6) equation: 


Simplifying
ln(x + 8) + (x + -8) = ln(6)

Reorder the terms:
ln(8 + x) + (x + -8) = ln(6)
(8 * ln + x * ln) + (x + -8) = ln(6)
(8ln + lnx) + (x + -8) = ln(6)

Reorder the terms:
8ln + lnx + (-8 + x) = ln(6)

Remove parenthesis around (-8 + x)
8ln + lnx + -8 + x = ln(6)

Reorder the terms:
-8 + 8ln + lnx + x = ln(6)

Reorder the terms for easier multiplication:
-8 + 8ln + lnx + x = 6ln

Solving
-8 + 8ln + lnx + x = 6ln

Solving for variable 'l'.

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

Add '-6ln' to each side of the equation.
-8 + 8ln + lnx + -6ln + x = 6ln + -6ln

Reorder the terms:
-8 + 8ln + -6ln + lnx + x = 6ln + -6ln

Combine like terms: 8ln + -6ln = 2ln
-8 + 2ln + lnx + x = 6ln + -6ln

Combine like terms: 6ln + -6ln = 0
-8 + 2ln + lnx + x = 0

Add '8' to each side of the equation.
-8 + 2ln + lnx + 8 + x = 0 + 8

Reorder the terms:
-8 + 8 + 2ln + lnx + x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 2ln + lnx + x = 0 + 8
2ln + lnx + x = 0 + 8

Combine like terms: 0 + 8 = 8
2ln + lnx + x = 8

Add '-1x' to each side of the equation.
2ln + lnx + x + -1x = 8 + -1x

Combine like terms: x + -1x = 0
2ln + lnx + 0 = 8 + -1x
2ln + lnx = 8 + -1x

Reorder the terms:
-8 + 2ln + lnx + x = 8 + -1x + -8 + x

Reorder the terms:
-8 + 2ln + lnx + x = 8 + -8 + -1x + x

Combine like terms: 8 + -8 = 0
-8 + 2ln + lnx + x = 0 + -1x + x
-8 + 2ln + lnx + x = -1x + x

Combine like terms: -1x + x = 0
-8 + 2ln + lnx + x = 0

The solution to this equation could not be determined.

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