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

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


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

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

Multiply ln * x
1nL + nxL + -1lnx = 1

Reorder the terms:
-1lnx + 1nL + nxL = 1

Solving
-1lnx + 1nL + nxL = 1

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.
-1lnx + 1nL + -1nL + nxL = 1 + -1nL

Combine like terms: 1nL + -1nL = 0
-1lnx + 0 + nxL = 1 + -1nL
-1lnx + nxL = 1 + -1nL

Add '-1nxL' to each side of the equation.
-1lnx + nxL + -1nxL = 1 + -1nL + -1nxL

Combine like terms: nxL + -1nxL = 0
-1lnx + 0 = 1 + -1nL + -1nxL
-1lnx = 1 + -1nL + -1nxL

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

Simplifying
l = -1n-1x-1 + x-1L + L

Reorder the terms:
l = L + -1n-1x-1 + x-1L

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