ln(x+2)-ln(12)=ln(19)

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Solution for ln(x+2)-ln(12)=ln(19) equation: 


Simplifying
ln(x + 2) + -1ln(12) = ln(19)

Reorder the terms:
ln(2 + x) + -1ln(12) = ln(19)
(2 * ln + x * ln) + -1ln(12) = ln(19)
(2ln + lnx) + -1ln(12) = ln(19)

Reorder the terms for easier multiplication:
2ln + lnx + -1 * 12ln = ln(19)

Multiply -1 * 12
2ln + lnx + -12ln = ln(19)

Reorder the terms:
2ln + -12ln + lnx = ln(19)

Combine like terms: 2ln + -12ln = -10ln
-10ln + lnx = ln(19)

Reorder the terms for easier multiplication:
-10ln + lnx = 19ln

Solving
-10ln + lnx = 19ln

Solving for variable 'l'.

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

Add '-19ln' to each side of the equation.
-10ln + -19ln + lnx = 19ln + -19ln

Combine like terms: -10ln + -19ln = -29ln
-29ln + lnx = 19ln + -19ln

Combine like terms: 19ln + -19ln = 0
-29ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-29 + x) = 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 '(-29 + x)' equal to zero and attempt to solve:

Simplifying
-29 + x = 0

Solving
-29 + x = 0

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

Add '29' to each side of the equation.
-29 + 29 + x = 0 + 29

Combine like terms: -29 + 29 = 0
0 + x = 0 + 29
x = 0 + 29

Combine like terms: 0 + 29 = 29
x = 29

Add '-1x' to each side of the equation.
x + -1x = 29 + -1x

Combine like terms: x + -1x = 0
0 = 29 + -1x

Simplifying
0 = 29 + -1x

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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