ln*(x+3)=2*ln*4

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Solution for ln*(x+3)=2*ln*4 equation: 


Simplifying
ln(x + 3) = 2ln * 4

Reorder the terms:
ln(3 + x) = 2ln * 4
(3 * ln + x * ln) = 2ln * 4
(3ln + lnx) = 2ln * 4

Reorder the terms for easier multiplication:
3ln + lnx = 2 * 4ln

Multiply 2 * 4
3ln + lnx = 8ln

Solving
3ln + lnx = 8ln

Solving for variable 'l'.

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

Add '-8ln' to each side of the equation.
3ln + -8ln + lnx = 8ln + -8ln

Combine like terms: 3ln + -8ln = -5ln
-5ln + lnx = 8ln + -8ln

Combine like terms: 8ln + -8ln = 0
-5ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-5 + 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 '(-5 + x)' equal to zero and attempt to solve:

Simplifying
-5 + x = 0

Solving
-5 + x = 0

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

Add '5' to each side of the equation.
-5 + 5 + x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + x = 0 + 5
x = 0 + 5

Combine like terms: 0 + 5 = 5
x = 5

Add '-1x' to each side of the equation.
x + -1x = 5 + -1x

Combine like terms: x + -1x = 0
0 = 5 + -1x

Simplifying
0 = 5 + -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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