lnx(2-lnx)=0

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Solution for lnx(2-lnx)=0 equation:


Simplifying
lnx(2 + -1lnx) = 0
(2 * lnx + -1lnx * lnx) = 0
(2lnx + -1l2n2x2) = 0

Solving
2lnx + -1l2n2x2 = 0

Solving for variable 'l'.

Factor out the Greatest Common Factor (GCF), 'lnx'.
lnx(2 + -1lnx) = 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 + -1lnx)' equal to zero and attempt to solve: Simplifying 2 + -1lnx = 0 Solving 2 + -1lnx = 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 + -1lnx = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1lnx = 0 + -2 -1lnx = 0 + -2 Combine like terms: 0 + -2 = -2 -1lnx = -2 Divide each side by '-1nx'. l = 2n-1x-1 Simplifying l = 2n-1x-1

Solution

l = {2n-1x-1}

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