ln(4x+8)=ln(3x+12)

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Solution for ln(4x+8)=ln(3x+12) equation: 


Simplifying
ln(4x + 8) = ln(3x + 12)

Reorder the terms:
ln(8 + 4x) = ln(3x + 12)
(8 * ln + 4x * ln) = ln(3x + 12)
(8ln + 4lnx) = ln(3x + 12)

Reorder the terms:
8ln + 4lnx = ln(12 + 3x)
8ln + 4lnx = (12 * ln + 3x * ln)
8ln + 4lnx = (12ln + 3lnx)

Solving
8ln + 4lnx = 12ln + 3lnx

Solving for variable 'l'.

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

Add '-12ln' to each side of the equation.
8ln + -12ln + 4lnx = 12ln + -12ln + 3lnx

Combine like terms: 8ln + -12ln = -4ln
-4ln + 4lnx = 12ln + -12ln + 3lnx

Combine like terms: 12ln + -12ln = 0
-4ln + 4lnx = 0 + 3lnx
-4ln + 4lnx = 3lnx

Add '-3lnx' to each side of the equation.
-4ln + 4lnx + -3lnx = 3lnx + -3lnx

Combine like terms: 4lnx + -3lnx = 1lnx
-4ln + 1lnx = 3lnx + -3lnx

Combine like terms: 3lnx + -3lnx = 0
-4ln + 1lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-4 + 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 '(-4 + x)' equal to zero and attempt to solve:

Simplifying
-4 + x = 0

Solving
-4 + x = 0

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

Add '4' to each side of the equation.
-4 + 4 + x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + x = 0 + 4
x = 0 + 4

Combine like terms: 0 + 4 = 4
x = 4

Add '-1x' to each side of the equation.
x + -1x = 4 + -1x

Combine like terms: x + -1x = 0
0 = 4 + -1x

Simplifying
0 = 4 + -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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