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

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


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

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

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

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

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

Combine like terms: lnx + 2lnx = 3lnx
2ln + 3lnx = 0

Solving
2ln + 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(2 + 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 '(2 + 3x)' equal to zero and attempt to solve:

Simplifying
2 + 3x = 0

Solving
2 + 3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 3x = 0 + -2
3x = 0 + -2

Combine like terms: 0 + -2 = -2
3x = -2

Add '-3x' to each side of the equation.
3x + -3x = -2 + -3x

Combine like terms: 3x + -3x = 0
0 = -2 + -3x

Simplifying
0 = -2 + -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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