ln(2x-3)=ln^21

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Solution for ln(2x-3)=ln^21 equation: 


Simplifying
ln(2x + -3) = ln21

Reorder the terms:
ln(-3 + 2x) = ln21
(-3 * ln + 2x * ln) = ln21
(-3ln + 2lnx) = ln21

Solving
-3ln + 2lnx = ln21

Solving for variable 'l'.

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

Add '-1ln21' to each side of the equation.
-3ln + 2lnx + -1ln21 = ln21 + -1ln21

Combine like terms: ln21 + -1ln21 = 0
-3ln + 2lnx + -1ln21 = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-3 + 2x + -1n20) = 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 + -1n20)' equal to zero and attempt to solve:

Simplifying
-3 + 2x + -1n20 = 0

Reorder the terms:
-3 + -1n20 + 2x = 0

Solving
-3 + -1n20 + 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 + -1n20 + 3 + 2x = 0 + 3

Reorder the terms:
-3 + 3 + -1n20 + 2x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1n20 + 2x = 0 + 3
-1n20 + 2x = 0 + 3

Combine like terms: 0 + 3 = 3
-1n20 + 2x = 3

Add 'n20' to each side of the equation.
-1n20 + n20 + 2x = 3 + n20

Combine like terms: -1n20 + n20 = 0
0 + 2x = 3 + n20
2x = 3 + n20

Add '-2x' to each side of the equation.
2x + -2x = 3 + n20 + -2x

Combine like terms: 2x + -2x = 0
0 = 3 + n20 + -2x

Simplifying
0 = 3 + n20 + -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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