Ln(4x+3)-ln*x=ln*5

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Solution for Ln(4x+3)-ln*x=ln*5 equation: 


Simplifying
Ln(4x + 3) + -1ln * x = ln * 5

Reorder the terms:
nL(3 + 4x) + -1ln * x = ln * 5
(3 * nL + 4x * nL) + -1ln * x = ln * 5
(3nL + 4nxL) + -1ln * x = ln * 5

Multiply ln * x
3nL + 4nxL + -1lnx = ln * 5

Reorder the terms:
-1lnx + 3nL + 4nxL = ln * 5

Reorder the terms for easier multiplication:
-1lnx + 3nL + 4nxL = 5ln

Solving
-1lnx + 3nL + 4nxL = 5ln

Solving for variable 'l'.

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

Add '-5ln' to each side of the equation.
-1lnx + 3nL + -5ln + 4nxL = 5ln + -5ln

Reorder the terms:
-5ln + -1lnx + 3nL + 4nxL = 5ln + -5ln

Combine like terms: 5ln + -5ln = 0
-5ln + -1lnx + 3nL + 4nxL = 0

Add '-3nL' to each side of the equation.
-5ln + -1lnx + 3nL + -3nL + 4nxL = 0 + -3nL

Combine like terms: 3nL + -3nL = 0
-5ln + -1lnx + 0 + 4nxL = 0 + -3nL
-5ln + -1lnx + 4nxL = 0 + -3nL
Remove the zero:
-5ln + -1lnx + 4nxL = -3nL

Add '-4nxL' to each side of the equation.
-5ln + -1lnx + 4nxL + -4nxL = -3nL + -4nxL

Combine like terms: 4nxL + -4nxL = 0
-5ln + -1lnx + 0 = -3nL + -4nxL
-5ln + -1lnx = -3nL + -4nxL

Reorder the terms:
-5ln + -1lnx + 3nL + 4nxL = -3nL + 3nL + -4nxL + 4nxL

Combine like terms: -3nL + 3nL = 0
-5ln + -1lnx + 3nL + 4nxL = 0 + -4nxL + 4nxL
-5ln + -1lnx + 3nL + 4nxL = -4nxL + 4nxL

Combine like terms: -4nxL + 4nxL = 0
-5ln + -1lnx + 3nL + 4nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-5l + -1lx + 3L + 4xL) = 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 '(-5l + -1lx + 3L + 4xL)' equal to zero and attempt to solve:

Simplifying
-5l + -1lx + 3L + 4xL = 0

Reorder the terms:
3L + -5l + -1lx + 4xL = 0

Solving
3L + -5l + -1lx + 4xL = 0

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

Add '-3L' to each side of the equation.
3L + -5l + -1lx + -3L + 4xL = 0 + -3L

Reorder the terms:
3L + -3L + -5l + -1lx + 4xL = 0 + -3L

Combine like terms: 3L + -3L = 0
0 + -5l + -1lx + 4xL = 0 + -3L
-5l + -1lx + 4xL = 0 + -3L
Remove the zero:
-5l + -1lx + 4xL = -3L

Add '-4xL' to each side of the equation.
-5l + -1lx + 4xL + -4xL = -3L + -4xL

Combine like terms: 4xL + -4xL = 0
-5l + -1lx + 0 = -3L + -4xL
-5l + -1lx = -3L + -4xL

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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