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

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


Simplifying
ln(x3) + ln(x2) + -1ln(2) = 0

Multiply ln * x3
lnx3 + ln(x2) + -1ln(2) = 0

Multiply ln * x2
lnx3 + lnx2 + -1ln(2) = 0

Reorder the terms for easier multiplication:
lnx3 + lnx2 + -1 * 2ln = 0

Multiply -1 * 2
lnx3 + lnx2 + -2ln = 0

Reorder the terms:
-2ln + lnx2 + lnx3 = 0

Solving
-2ln + lnx2 + lnx3 = 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), 'ln'.
ln(-2 + x2 + x3) = 0

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 '(-2 + x2 + x3)' equal to zero and attempt to solve: Simplifying -2 + x2 + x3 = 0 Solving -2 + x2 + x3 = 0 Move all terms containing l to the left, all other terms to the right. Add '2' to each side of the equation. -2 + x2 + 2 + x3 = 0 + 2 Reorder the terms: -2 + 2 + x2 + x3 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x2 + x3 = 0 + 2 x2 + x3 = 0 + 2 Combine like terms: 0 + 2 = 2 x2 + x3 = 2 Add '-1x2' to each side of the equation. x2 + -1x2 + x3 = 2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 + x3 = 2 + -1x2 x3 = 2 + -1x2 Add '-1x3' to each side of the equation. x3 + -1x3 = 2 + -1x2 + -1x3 Combine like terms: x3 + -1x3 = 0 0 = 2 + -1x2 + -1x3 Simplifying 0 = 2 + -1x2 + -1x3 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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