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

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


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

Reorder the terms:
nL(1 + x) + -1ln(3) = 2
(1 * nL + x * nL) + -1ln(3) = 2
(1nL + nxL) + -1ln(3) = 2

Reorder the terms for easier multiplication:
1nL + nxL + -1 * 3ln = 2

Multiply -1 * 3
1nL + nxL + -3ln = 2

Reorder the terms:
-3ln + 1nL + nxL = 2

Solving
-3ln + 1nL + nxL = 2

Solving for variable 'l'.

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

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

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

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

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

Divide each side by '-3n'.
l = -0.6666666667n-1 + 0.3333333333L + 0.3333333333xL

Simplifying
l = -0.6666666667n-1 + 0.3333333333L + 0.3333333333xL

Reorder the terms:
l = 0.3333333333L + -0.6666666667n-1 + 0.3333333333xL

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