Xln(6)=xln(4)

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Solution for Xln(6)=xln(4) equation: 


Simplifying
Xln(6) = xln(4)

Reorder the terms for easier multiplication:
6lnX = xln(4)

Reorder the terms for easier multiplication:
6lnX = 4lnx

Solving
6lnX = 4lnx

Solving for variable 'l'.

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

Add '-4lnx' to each side of the equation.
6lnX + -4lnx = 4lnx + -4lnx

Combine like terms: 4lnx + -4lnx = 0
6lnX + -4lnx = 0

Factor out the Greatest Common Factor (GCF), '2ln'.
2ln(3X + -2x) = 0

Ignore the factor 2.

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 '(3X + -2x)' equal to zero and attempt to solve:

Simplifying
3X + -2x = 0

Solving
3X + -2x = 0

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

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

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

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

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

Simplifying
0 = -3X + 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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