4ln(4x)-ln(x^2)=0

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


Simplifying
4ln(4x) + -1ln(x2) = 0

Remove parenthesis around (4x)
4ln * 4x + -1ln(x2) = 0

Reorder the terms for easier multiplication:
4 * 4ln * x + -1ln(x2) = 0

Multiply 4 * 4
16ln * x + -1ln(x2) = 0

Multiply ln * x
16lnx + -1ln(x2) = 0

Multiply ln * x2
16lnx + -1lnx2 = 0

Solving
16lnx + -1lnx2 = 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), 'lnx'.
lnx(16 + -1x) = 0


Subproblem 1
Set the factor 'lnx' equal to zero and attempt to solve:

Simplifying
lnx = 0

Solving
lnx = 0

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

Simplifying
lnx = 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 '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Add 'x' to each side of the equation.
-1x + x = -16 + x

Combine like terms: -1x + x = 0
0 = -16 + x

Simplifying
0 = -16 + x

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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