ln(4x+22)-2ln(x+2)=1

Solution for ln(4x+22)-2ln(x+2)=1 equation:

Simplifying
ln(4x + 22) + -2ln(x + 2) = 1

Reorder the terms:
ln(22 + 4x) + -2ln(x + 2) = 1
(22 * ln + 4x * ln) + -2ln(x + 2) = 1
(22ln + 4lnx) + -2ln(x + 2) = 1

Reorder the terms:
22ln + 4lnx + -2ln(2 + x) = 1
22ln + 4lnx + (2 * -2ln + x * -2ln) = 1
22ln + 4lnx + (-4ln + -2lnx) = 1

Reorder the terms:
22ln + -4ln + 4lnx + -2lnx = 1

Combine like terms: 22ln + -4ln = 18ln
18ln + 4lnx + -2lnx = 1

Combine like terms: 4lnx + -2lnx = 2lnx
18ln + 2lnx = 1

Solving
18ln + 2lnx = 1

Solving for variable 'l'.

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

Reorder the terms:
-1 + 18ln + 2lnx = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 18ln + 2lnx = 0

The solution to this equation could not be determined.