ln(x)=-ln(3)

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Solution for ln(x)=-ln(3) equation:


Simplifying
ln(x) = -1ln(3)

Multiply ln * x
lnx = -1ln(3)

Reorder the terms for easier multiplication:
lnx = -1 * 3ln

Multiply -1 * 3
lnx = -3ln

Solving
lnx = -3ln

Solving for variable 'l'.

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

Add '3ln' to each side of the equation.
3ln + lnx = -3ln + 3ln

Combine like terms: -3ln + 3ln = 0
3ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(3 + x) = 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 '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Add '-1x' to each side of the equation. x + -1x = -3 + -1x Combine like terms: x + -1x = 0 0 = -3 + -1x Simplifying 0 = -3 + -1x 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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