(x+2)+ln(x-2)=ln(21)

Solution for (x+2)+ln(x-2)=ln(21) equation:

Simplifying
(x + 2) + ln(x + -2) = ln(21)

Reorder the terms:
(2 + x) + ln(x + -2) = ln(21)

Remove parenthesis around (2 + x)
2 + x + ln(x + -2) = ln(21)

Reorder the terms:
2 + x + ln(-2 + x) = ln(21)
2 + x + (-2 * ln + x * ln) = ln(21)
2 + x + (-2ln + lnx) = ln(21)

Reorder the terms:
2 + -2ln + lnx + x = ln(21)

Reorder the terms for easier multiplication:
2 + -2ln + lnx + x = 21ln

Solving
2 + -2ln + lnx + x = 21ln

Solving for variable 'l'.

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

Add '-21ln' to each side of the equation.
2 + -2ln + lnx + -21ln + x = 21ln + -21ln

Reorder the terms:
2 + -2ln + -21ln + lnx + x = 21ln + -21ln

Combine like terms: -2ln + -21ln = -23ln
2 + -23ln + lnx + x = 21ln + -21ln

Combine like terms: 21ln + -21ln = 0
2 + -23ln + lnx + x = 0

Add '-2' to each side of the equation.
2 + -23ln + lnx + -2 + x = 0 + -2

Reorder the terms:
2 + -2 + -23ln + lnx + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -23ln + lnx + x = 0 + -2
-23ln + lnx + x = 0 + -2

Combine like terms: 0 + -2 = -2
-23ln + lnx + x = -2

Add '-1x' to each side of the equation.
-23ln + lnx + x + -1x = -2 + -1x

Combine like terms: x + -1x = 0
-23ln + lnx + 0 = -2 + -1x
-23ln + lnx = -2 + -1x

Reorder the terms:
2 + -23ln + lnx + x = -2 + -1x + 2 + x

Reorder the terms:
2 + -23ln + lnx + x = -2 + 2 + -1x + x

Combine like terms: -2 + 2 = 0
2 + -23ln + lnx + x = 0 + -1x + x
2 + -23ln + lnx + x = -1x + x

Combine like terms: -1x + x = 0
2 + -23ln + lnx + x = 0

The solution to this equation could not be determined.