ln(x+2)=ln(12x)

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Solution for ln(x+2)=ln(12x) equation: 


Simplifying
ln(x + 2) = ln(12x)

Reorder the terms:
ln(2 + x) = ln(12x)
(2 * ln + x * ln) = ln(12x)
(2ln + lnx) = ln(12x)

Remove parenthesis around (12x)
2ln + lnx = ln * 12x

Reorder the terms for easier multiplication:
2ln + lnx = 12ln * x

Multiply ln * x
2ln + lnx = 12lnx

Solving
2ln + lnx = 12lnx

Solving for variable 'l'.

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

Add '-12lnx' to each side of the equation.
2ln + lnx + -12lnx = 12lnx + -12lnx

Combine like terms: lnx + -12lnx = -11lnx
2ln + -11lnx = 12lnx + -12lnx

Combine like terms: 12lnx + -12lnx = 0
2ln + -11lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(2 + -11x) = 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 '(2 + -11x)' equal to zero and attempt to solve:

Simplifying
2 + -11x = 0

Solving
2 + -11x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -11x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -11x = 0 + -2
-11x = 0 + -2

Combine like terms: 0 + -2 = -2
-11x = -2

Add '11x' to each side of the equation.
-11x + 11x = -2 + 11x

Combine like terms: -11x + 11x = 0
0 = -2 + 11x

Simplifying
0 = -2 + 11x

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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