Ln(4x)+1=Ln(3-x)

Solution for Ln(4x)+1=Ln(3-x) equation:

Simplifying
Ln(4x) + 1 = Ln(3 + -1x)

Remove parenthesis around (4x)
nL * 4x + 1 = Ln(3 + -1x)

Reorder the terms for easier multiplication:
4nL * x + 1 = Ln(3 + -1x)

Multiply nL * x
4nxL + 1 = Ln(3 + -1x)

Reorder the terms:
1 + 4nxL = Ln(3 + -1x)
1 + 4nxL = (3 * nL + -1x * nL)
1 + 4nxL = (3nL + -1nxL)

Solving
1 + 4nxL = 3nL + -1nxL

Solving for variable 'n'.

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

Add '-3nL' to each side of the equation.
1 + -3nL + 4nxL = 3nL + -3nL + -1nxL

Combine like terms: 3nL + -3nL = 0
1 + -3nL + 4nxL = 0 + -1nxL
1 + -3nL + 4nxL = -1nxL

Add 'nxL' to each side of the equation.
1 + -3nL + 4nxL + nxL = -1nxL + nxL

Combine like terms: 4nxL + nxL = 5nxL
1 + -3nL + 5nxL = -1nxL + nxL

Combine like terms: -1nxL + nxL = 0
1 + -3nL + 5nxL = 0

Add '-1' to each side of the equation.
1 + -3nL + -1 + 5nxL = 0 + -1

Reorder the terms:
1 + -1 + -3nL + 5nxL = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3nL + 5nxL = 0 + -1
-3nL + 5nxL = 0 + -1

Combine like terms: 0 + -1 = -1
-3nL + 5nxL = -1

Reorder the terms:
1 + -3nL + 5nxL = -1 + 1

Combine like terms: -1 + 1 = 0
1 + -3nL + 5nxL = 0

The solution to this equation could not be determined.