ln(x+2)-3=lnx

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


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

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

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

Add '-1lnx' to each side of the equation.
-3 + 2ln + lnx + -1lnx = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-3 + 2ln + 0 = lnx + -1lnx
-3 + 2ln = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-3 + 2ln = 0

Solving
-3 + 2ln = 0

Solving for variable 'l'.

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

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

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

Combine like terms: 0 + 3 = 3
2ln = 3

Divide each side by '2n'.
l = 1.5n-1

Simplifying
l = 1.5n-1

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