ln^2(x)=ln(x)

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Solution for ln^2(x)=ln(x) equation:


Simplifying
ln2(x) = ln(x)

Multiply ln2 * x
ln2x = ln(x)

Multiply ln * x
ln2x = lnx

Solving
ln2x = lnx

Solving for variable 'l'.

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

Add '-1lnx' to each side of the equation.
-1lnx + ln2x = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-1lnx + ln2x = 0

Factor out the Greatest Common Factor (GCF), 'lnx'.
lnx(-1 + n) = 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 '(-1 + n)' equal to zero and attempt to solve: Simplifying -1 + n = 0 Solving -1 + n = 0 Move all terms containing l to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + n = 0 + 1 Combine like terms: -1 + 1 = 0 0 + n = 0 + 1 n = 0 + 1 Combine like terms: 0 + 1 = 1 n = 1 Add '-1n' to each side of the equation. n + -1n = 1 + -1n Combine like terms: n + -1n = 0 0 = 1 + -1n Simplifying 0 = 1 + -1n 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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