ln(x+2)+(lnx-3)=ln(21)

Solution for ln(x+2)+(lnx-3)=ln(21) equation:

Simplifying
ln(x + 2) + (lnx + -3) = ln(21)

Reorder the terms:
ln(2 + x) + (lnx + -3) = ln(21)
(2 * ln + x * ln) + (lnx + -3) = ln(21)
(2ln + lnx) + (lnx + -3) = ln(21)

Reorder the terms:
2ln + lnx + (-3 + lnx) = ln(21)

Remove parenthesis around (-3 + lnx)
2ln + lnx + -3 + lnx = ln(21)

Reorder the terms:
-3 + 2ln + lnx + lnx = ln(21)

Combine like terms: lnx + lnx = 2lnx
-3 + 2ln + 2lnx = ln(21)

Reorder the terms for easier multiplication:
-3 + 2ln + 2lnx = 21ln

Solving
-3 + 2ln + 2lnx = 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.
-3 + 2ln + -21ln + 2lnx = 21ln + -21ln

Combine like terms: 2ln + -21ln = -19ln
-3 + -19ln + 2lnx = 21ln + -21ln

Combine like terms: 21ln + -21ln = 0
-3 + -19ln + 2lnx = 0

Add '3' to each side of the equation.
-3 + -19ln + 3 + 2lnx = 0 + 3

Reorder the terms:
-3 + 3 + -19ln + 2lnx = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -19ln + 2lnx = 0 + 3
-19ln + 2lnx = 0 + 3

Combine like terms: 0 + 3 = 3
-19ln + 2lnx = 3

Reorder the terms:
-3 + -19ln + 2lnx = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -19ln + 2lnx = 0

The solution to this equation could not be determined.