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

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


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

Reorder the terms:
ln(1 + 3t) + -1ln(2t + 3) = 0
(1 * ln + 3t * ln) + -1ln(2t + 3) = 0
(1ln + 3lnt) + -1ln(2t + 3) = 0

Reorder the terms:
1ln + 3lnt + -1ln(3 + 2t) = 0
1ln + 3lnt + (3 * -1ln + 2t * -1ln) = 0
1ln + 3lnt + (-3ln + -2lnt) = 0

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

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

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

Solving
-2ln + 1lnt = 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 + t) = 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 + t)' equal to zero and attempt to solve:

Simplifying
-2 + t = 0

Solving
-2 + t = 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 + t = 0 + 2

Combine like terms: -2 + 2 = 0
0 + t = 0 + 2
t = 0 + 2

Combine like terms: 0 + 2 = 2
t = 2

Add '-1t' to each side of the equation.
t + -1t = 2 + -1t

Combine like terms: t + -1t = 0
0 = 2 + -1t

Simplifying
0 = 2 + -1t

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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