2lnx-ln(3y)+3lnz=

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Solution for 2lnx-ln(3y)+3lnz= equation:


Simplifying
2lnx + -1ln(3y) + 3lnz = 0

Remove parenthesis around (3y)
2lnx + -1ln * 3y + 3lnz = 0

Reorder the terms for easier multiplication:
2lnx + -1 * 3ln * y + 3lnz = 0

Multiply -1 * 3
2lnx + -3ln * y + 3lnz = 0

Multiply ln * y
2lnx + -3lny + 3lnz = 0

Solving
2lnx + -3lny + 3lnz = 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(2x + -3y + 3z) = 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 '(2x + -3y + 3z)' equal to zero and attempt to solve: Simplifying 2x + -3y + 3z = 0 Solving 2x + -3y + 3z = 0 Move all terms containing l to the left, all other terms to the right. Add '-2x' to each side of the equation. 2x + -3y + -2x + 3z = 0 + -2x Reorder the terms: 2x + -2x + -3y + 3z = 0 + -2x Combine like terms: 2x + -2x = 0 0 + -3y + 3z = 0 + -2x -3y + 3z = 0 + -2x Remove the zero: -3y + 3z = -2x Add '3y' to each side of the equation. -3y + 3y + 3z = -2x + 3y Combine like terms: -3y + 3y = 0 0 + 3z = -2x + 3y 3z = -2x + 3y Add '-3z' to each side of the equation. 3z + -3z = -2x + 3y + -3z Combine like terms: 3z + -3z = 0 0 = -2x + 3y + -3z Simplifying 0 = -2x + 3y + -3z 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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