2ln(x)-ln(3)=ln(12)

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Solution for 2ln(x)-ln(3)=ln(12) equation: 


Simplifying
2ln(x) + -1ln(3) = ln(12)

Multiply ln * x
2lnx + -1ln(3) = ln(12)

Reorder the terms for easier multiplication:
2lnx + -1 * 3ln = ln(12)

Multiply -1 * 3
2lnx + -3ln = ln(12)

Reorder the terms:
-3ln + 2lnx = ln(12)

Reorder the terms for easier multiplication:
-3ln + 2lnx = 12ln

Solving
-3ln + 2lnx = 12ln

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.
-3ln + -12ln + 2lnx = 12ln + -12ln

Combine like terms: -3ln + -12ln = -15ln
-15ln + 2lnx = 12ln + -12ln

Combine like terms: 12ln + -12ln = 0
-15ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-15 + 2x) = 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 '(-15 + 2x)' equal to zero and attempt to solve:

Simplifying
-15 + 2x = 0

Solving
-15 + 2x = 0

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

Add '15' to each side of the equation.
-15 + 15 + 2x = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 2x = 0 + 15
2x = 0 + 15

Combine like terms: 0 + 15 = 15
2x = 15

Add '-2x' to each side of the equation.
2x + -2x = 15 + -2x

Combine like terms: 2x + -2x = 0
0 = 15 + -2x

Simplifying
0 = 15 + -2x

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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