ln(3-5x)+ln(2x+1)=0

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Solution for ln(3-5x)+ln(2x+1)=0 equation: 


Simplifying
ln(3 + -5x) + ln(2x + 1) = 0
(3 * ln + -5x * ln) + ln(2x + 1) = 0
(3ln + -5lnx) + ln(2x + 1) = 0

Reorder the terms:
3ln + -5lnx + ln(1 + 2x) = 0
3ln + -5lnx + (1 * ln + 2x * ln) = 0
3ln + -5lnx + (1ln + 2lnx) = 0

Reorder the terms:
3ln + 1ln + -5lnx + 2lnx = 0

Combine like terms: 3ln + 1ln = 4ln
4ln + -5lnx + 2lnx = 0

Combine like terms: -5lnx + 2lnx = -3lnx
4ln + -3lnx = 0

Solving
4ln + -3lnx = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(4 + -3x) = 0


Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve:

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 0

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 '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Add '3x' to each side of the equation.
-3x + 3x = -4 + 3x

Combine like terms: -3x + 3x = 0
0 = -4 + 3x

Simplifying
0 = -4 + 3x

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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