3ln(y+3)=.333ln(x+4)+lnC

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Solution for 3ln(y+3)=.333ln(x+4)+lnC equation:


Simplifying
3ln(y + 3) = 0.333ln(x + 4) + lnC

Reorder the terms:
3ln(3 + y) = 0.333ln(x + 4) + lnC
(3 * 3ln + y * 3ln) = 0.333ln(x + 4) + lnC
(9ln + 3lny) = 0.333ln(x + 4) + lnC

Reorder the terms:
9ln + 3lny = 0.333ln(4 + x) + lnC
9ln + 3lny = (4 * 0.333ln + x * 0.333ln) + lnC
9ln + 3lny = (1.332ln + 0.333lnx) + lnC

Reorder the terms:
9ln + 3lny = 1.332ln + lnC + 0.333lnx

Solving
9ln + 3lny = 1.332ln + lnC + 0.333lnx

Solving for variable 'l'.

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

Add '-1.332ln' to each side of the equation.
9ln + -1.332ln + 3lny = 1.332ln + lnC + -1.332ln + 0.333lnx

Combine like terms: 9ln + -1.332ln = 7.668ln
7.668ln + 3lny = 1.332ln + lnC + -1.332ln + 0.333lnx

Reorder the terms:
7.668ln + 3lny = 1.332ln + -1.332ln + lnC + 0.333lnx

Combine like terms: 1.332ln + -1.332ln = 0.000
7.668ln + 3lny = 0.000 + lnC + 0.333lnx
7.668ln + 3lny = lnC + 0.333lnx

Add '-1lnC' to each side of the equation.
7.668ln + -1lnC + 3lny = lnC + -1lnC + 0.333lnx

Combine like terms: lnC + -1lnC = 0
7.668ln + -1lnC + 3lny = 0 + 0.333lnx
7.668ln + -1lnC + 3lny = 0.333lnx

Add '-0.333lnx' to each side of the equation.
7.668ln + -1lnC + -0.333lnx + 3lny = 0.333lnx + -0.333lnx

Combine like terms: 0.333lnx + -0.333lnx = 0.000
7.668ln + -1lnC + -0.333lnx + 3lny = 0.000

The solution to this equation could not be determined.

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