ln(x*2)-ln(x)+ln(4)=0

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Solution for ln(x*2)-ln(x)+ln(4)=0 equation: 


Simplifying
ln(x * 2) + -1ln(x) + ln(4) = 0

Reorder the terms for easier multiplication:
ln(2x) + -1ln(x) + ln(4) = 0

Remove parenthesis around (2x)
ln * 2x + -1ln(x) + ln(4) = 0

Reorder the terms for easier multiplication:
2ln * x + -1ln(x) + ln(4) = 0

Multiply ln * x
2lnx + -1ln(x) + ln(4) = 0

Multiply ln * x
2lnx + -1lnx + ln(4) = 0

Reorder the terms for easier multiplication:
2lnx + -1lnx + 4ln = 0

Reorder the terms:
4ln + 2lnx + -1lnx = 0

Combine like terms: 2lnx + -1lnx = 1lnx
4ln + 1lnx = 0

Solving
4ln + 1lnx = 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(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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