2ln(x)-xln(x^3)=0

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Solution for 2ln(x)-xln(x^3)=0 equation:


Simplifying
2ln(x) + -1xln(x3) = 0

Multiply ln * x
2lnx + -1xln(x3) = 0

Multiply lnx * x3
2lnx + -1lnx4 = 0

Solving
2lnx + -1lnx4 = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), 'lnx'.
lnx(2 + -1x3) = 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 + -1x3)' equal to zero and attempt to solve: Simplifying 2 + -1x3 = 0 Solving 2 + -1x3 = 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 + -1x3 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x3 = 0 + -2 -1x3 = 0 + -2 Combine like terms: 0 + -2 = -2 -1x3 = -2 Add 'x3' to each side of the equation. -1x3 + x3 = -2 + x3 Combine like terms: -1x3 + x3 = 0 0 = -2 + x3 Simplifying 0 = -2 + x3 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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