ln(x+4)-ln(6)=ln(14)

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Solution for ln(x+4)-ln(6)=ln(14) equation: 


Simplifying
ln(x + 4) + -1ln(6) = ln(14)

Reorder the terms:
ln(4 + x) + -1ln(6) = ln(14)
(4 * ln + x * ln) + -1ln(6) = ln(14)
(4ln + lnx) + -1ln(6) = ln(14)

Reorder the terms for easier multiplication:
4ln + lnx + -1 * 6ln = ln(14)

Multiply -1 * 6
4ln + lnx + -6ln = ln(14)

Reorder the terms:
4ln + -6ln + lnx = ln(14)

Combine like terms: 4ln + -6ln = -2ln
-2ln + lnx = ln(14)

Reorder the terms for easier multiplication:
-2ln + lnx = 14ln

Solving
-2ln + lnx = 14ln

Solving for variable 'l'.

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

Add '-14ln' to each side of the equation.
-2ln + -14ln + lnx = 14ln + -14ln

Combine like terms: -2ln + -14ln = -16ln
-16ln + lnx = 14ln + -14ln

Combine like terms: 14ln + -14ln = 0
-16ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-16 + 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 '(-16 + x)' equal to zero and attempt to solve:

Simplifying
-16 + x = 0

Solving
-16 + x = 0

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

Add '16' to each side of the equation.
-16 + 16 + x = 0 + 16

Combine like terms: -16 + 16 = 0
0 + x = 0 + 16
x = 0 + 16

Combine like terms: 0 + 16 = 16
x = 16

Add '-1x' to each side of the equation.
x + -1x = 16 + -1x

Combine like terms: x + -1x = 0
0 = 16 + -1x

Simplifying
0 = 16 + -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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