2lnx=ln(4x-3)

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Solution for 2lnx=ln(4x-3) equation: 


Simplifying
2lnx = ln(4x + -3)

Reorder the terms:
2lnx = ln(-3 + 4x)
2lnx = (-3 * ln + 4x * ln)
2lnx = (-3ln + 4lnx)

Solving
2lnx = -3ln + 4lnx

Solving for variable 'l'.

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

Add '3ln' to each side of the equation.
3ln + 2lnx = -3ln + 3ln + 4lnx

Combine like terms: -3ln + 3ln = 0
3ln + 2lnx = 0 + 4lnx
3ln + 2lnx = 4lnx

Add '-4lnx' to each side of the equation.
3ln + 2lnx + -4lnx = 4lnx + -4lnx

Combine like terms: 2lnx + -4lnx = -2lnx
3ln + -2lnx = 4lnx + -4lnx

Combine like terms: 4lnx + -4lnx = 0
3ln + -2lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(3 + -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 '(3 + -2x)' equal to zero and attempt to solve:

Simplifying
3 + -2x = 0

Solving
3 + -2x = 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 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = 0 + -3
-2x = 0 + -3

Combine like terms: 0 + -3 = -3
-2x = -3

Add '2x' to each side of the equation.
-2x + 2x = -3 + 2x

Combine like terms: -2x + 2x = 0
0 = -3 + 2x

Simplifying
0 = -3 + 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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