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

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


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

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

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

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

Solving
2ln + -1nL + 2nxL = 1

Solving for variable 'l'.

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

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

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

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

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

Divide each side by '2n'.
l = 0.5n-1 + 0.5L + -1xL

Simplifying
l = 0.5n-1 + 0.5L + -1xL

Reorder the terms:
l = 0.5L + 0.5n-1 + -1xL

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