3xln(x)=2ln(x)

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Solution for 3xln(x)=2ln(x) equation: 


Simplifying
3xln(x) = 2ln(x)

Multiply lnx * x
3lnx2 = 2ln(x)

Multiply ln * x
3lnx2 = 2lnx

Solving
3lnx2 = 2lnx

Solving for variable 'l'.

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

Add '-2lnx' to each side of the equation.
-2lnx + 3lnx2 = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
-2lnx + 3lnx2 = 0

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

Simplifying
-2 + 3x = 0

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

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

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

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

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

Simplifying
0 = 2 + -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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