Ln(2w+3)-ln(5w-6)=0

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Solution for Ln(2w+3)-ln(5w-6)=0 equation:


Simplifying
Ln(2w + 3) + -1ln(5w + -6) = 0

Reorder the terms:
nL(3 + 2w) + -1ln(5w + -6) = 0
(3 * nL + 2w * nL) + -1ln(5w + -6) = 0
(3nL + 2nwL) + -1ln(5w + -6) = 0

Reorder the terms:
3nL + 2nwL + -1ln(-6 + 5w) = 0
3nL + 2nwL + (-6 * -1ln + 5w * -1ln) = 0
3nL + 2nwL + (6ln + -5lnw) = 0

Reorder the terms:
6ln + -5lnw + 3nL + 2nwL = 0

Solving
6ln + -5lnw + 3nL + 2nwL = 0

Solving for variable 'l'.

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

Add '-3nL' to each side of the equation.
6ln + -5lnw + 3nL + -3nL + 2nwL = 0 + -3nL

Combine like terms: 3nL + -3nL = 0
6ln + -5lnw + 0 + 2nwL = 0 + -3nL
6ln + -5lnw + 2nwL = 0 + -3nL
Remove the zero:
6ln + -5lnw + 2nwL = -3nL

Add '-2nwL' to each side of the equation.
6ln + -5lnw + 2nwL + -2nwL = -3nL + -2nwL

Combine like terms: 2nwL + -2nwL = 0
6ln + -5lnw + 0 = -3nL + -2nwL
6ln + -5lnw = -3nL + -2nwL

Reorder the terms:
6ln + -5lnw + 3nL + 2nwL = -3nL + 3nL + -2nwL + 2nwL

Combine like terms: -3nL + 3nL = 0
6ln + -5lnw + 3nL + 2nwL = 0 + -2nwL + 2nwL
6ln + -5lnw + 3nL + 2nwL = -2nwL + 2nwL

Combine like terms: -2nwL + 2nwL = 0
6ln + -5lnw + 3nL + 2nwL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(6l + -5lw + 3L + 2wL) = 0

Subproblem 1

Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing l to the left, all other terms to the right. Add '-1n' to each side of the equation. n + -1n = 0 + -1n Remove the zero: 0 = -1n Simplifying 0 = -1n The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(6l + -5lw + 3L + 2wL)' equal to zero and attempt to solve: Simplifying 6l + -5lw + 3L + 2wL = 0 Reorder the terms: 3L + 6l + -5lw + 2wL = 0 Solving 3L + 6l + -5lw + 2wL = 0 Move all terms containing l to the left, all other terms to the right. Add '-3L' to each side of the equation. 3L + 6l + -5lw + -3L + 2wL = 0 + -3L Reorder the terms: 3L + -3L + 6l + -5lw + 2wL = 0 + -3L Combine like terms: 3L + -3L = 0 0 + 6l + -5lw + 2wL = 0 + -3L 6l + -5lw + 2wL = 0 + -3L Remove the zero: 6l + -5lw + 2wL = -3L Add '-2wL' to each side of the equation. 6l + -5lw + 2wL + -2wL = -3L + -2wL Combine like terms: 2wL + -2wL = 0 6l + -5lw + 0 = -3L + -2wL 6l + -5lw = -3L + -2wL The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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