2ln(x)-ln(3)+6lnx=0

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Solution for 2ln(x)-ln(3)+6lnx=0 equation: 


Simplifying
2ln(x) + -1ln(3) + 6lnx = 0

Multiply ln * x
2lnx + -1ln(3) + 6lnx = 0

Reorder the terms for easier multiplication:
2lnx + -1 * 3ln + 6lnx = 0

Multiply -1 * 3
2lnx + -3ln + 6lnx = 0

Reorder the terms:
-3ln + 2lnx + 6lnx = 0

Combine like terms: 2lnx + 6lnx = 8lnx
-3ln + 8lnx = 0

Solving
-3ln + 8lnx = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-3 + 8x) = 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 '(-3 + 8x)' equal to zero and attempt to solve:

Simplifying
-3 + 8x = 0

Solving
-3 + 8x = 0

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

Add '3' to each side of the equation.
-3 + 3 + 8x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 8x = 0 + 3
8x = 0 + 3

Combine like terms: 0 + 3 = 3
8x = 3

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

Combine like terms: 8x + -8x = 0
0 = 3 + -8x

Simplifying
0 = 3 + -8x

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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