3ln(x+2)-2ln(2x+3)=1

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Solution for 3ln(x+2)-2ln(2x+3)=1 equation: 


Simplifying
3ln(x + 2) + -2ln(2x + 3) = 1

Reorder the terms:
3ln(2 + x) + -2ln(2x + 3) = 1
(2 * 3ln + x * 3ln) + -2ln(2x + 3) = 1
(6ln + 3lnx) + -2ln(2x + 3) = 1

Reorder the terms:
6ln + 3lnx + -2ln(3 + 2x) = 1
6ln + 3lnx + (3 * -2ln + 2x * -2ln) = 1
6ln + 3lnx + (-6ln + -4lnx) = 1

Reorder the terms:
6ln + -6ln + 3lnx + -4lnx = 1

Combine like terms: 6ln + -6ln = 0
0 + 3lnx + -4lnx = 1
3lnx + -4lnx = 1

Combine like terms: 3lnx + -4lnx = -1lnx
-1lnx = 1

Solving
-1lnx = 1

Solving for variable 'l'.

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

Divide each side by '-1nx'.
l = -1n-1x-1

Simplifying
l = -1n-1x-1

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