(X-1)*ln(2)=x*ln(3)

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Solution for (X-1)*ln(2)=x*ln(3) equation: 


Simplifying
(X + -1) * ln(2) = x * ln(3)

Reorder the terms:
(-1 + X) * ln(2) = x * ln(3)

Reorder the terms for easier multiplication:
2ln(-1 + X) = x * ln(3)
(-1 * 2ln + X * 2ln) = x * ln(3)
(-2ln + 2lnX) = x * ln(3)

Reorder the terms for easier multiplication:
-2ln + 2lnX = 3x * ln

Multiply x * ln
-2ln + 2lnX = 3lnx

Solving
-2ln + 2lnX = 3lnx

Solving for variable 'l'.

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

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

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

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

Simplifying
-2 + 2X + -3x = 0

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

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

Add '2' to each side of the equation.
-2 + 2X + 2 + -3x = 0 + 2

Reorder the terms:
-2 + 2 + 2X + -3x = 0 + 2

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

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

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

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

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

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

Simplifying
0 = 2 + -2X + 3x

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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