ln(x+4)-ln(16)=ln(9)

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Solution for ln(x+4)-ln(16)=ln(9) equation: 


Simplifying
ln(x + 4) + -1ln(16) = ln(9)

Reorder the terms:
ln(4 + x) + -1ln(16) = ln(9)
(4 * ln + x * ln) + -1ln(16) = ln(9)
(4ln + lnx) + -1ln(16) = ln(9)

Reorder the terms for easier multiplication:
4ln + lnx + -1 * 16ln = ln(9)

Multiply -1 * 16
4ln + lnx + -16ln = ln(9)

Reorder the terms:
4ln + -16ln + lnx = ln(9)

Combine like terms: 4ln + -16ln = -12ln
-12ln + lnx = ln(9)

Reorder the terms for easier multiplication:
-12ln + lnx = 9ln

Solving
-12ln + lnx = 9ln

Solving for variable 'l'.

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

Add '-9ln' to each side of the equation.
-12ln + -9ln + lnx = 9ln + -9ln

Combine like terms: -12ln + -9ln = -21ln
-21ln + lnx = 9ln + -9ln

Combine like terms: 9ln + -9ln = 0
-21ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-21 + 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 '(-21 + x)' equal to zero and attempt to solve:

Simplifying
-21 + x = 0

Solving
-21 + x = 0

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

Add '21' to each side of the equation.
-21 + 21 + x = 0 + 21

Combine like terms: -21 + 21 = 0
0 + x = 0 + 21
x = 0 + 21

Combine like terms: 0 + 21 = 21
x = 21

Add '-1x' to each side of the equation.
x + -1x = 21 + -1x

Combine like terms: x + -1x = 0
0 = 21 + -1x

Simplifying
0 = 21 + -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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