ln(x+4)=2ln(8)

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Solution for ln(x+4)=2ln(8) equation: 


Simplifying
ln(x + 4) = 2ln(8)

Reorder the terms:
ln(4 + x) = 2ln(8)
(4 * ln + x * ln) = 2ln(8)
(4ln + lnx) = 2ln(8)

Reorder the terms for easier multiplication:
4ln + lnx = 2 * 8ln

Multiply 2 * 8
4ln + lnx = 16ln

Solving
4ln + lnx = 16ln

Solving for variable 'l'.

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

Add '-16ln' to each side of the equation.
4ln + -16ln + lnx = 16ln + -16ln

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

Combine like terms: 16ln + -16ln = 0
-12ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-12 + 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 '(-12 + x)' equal to zero and attempt to solve:

Simplifying
-12 + x = 0

Solving
-12 + x = 0

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

Add '12' to each side of the equation.
-12 + 12 + x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + x = 0 + 12
x = 0 + 12

Combine like terms: 0 + 12 = 12
x = 12

Add '-1x' to each side of the equation.
x + -1x = 12 + -1x

Combine like terms: x + -1x = 0
0 = 12 + -1x

Simplifying
0 = 12 + -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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