ln*x=ln*(x+6)-ln*3

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Solution for ln*x=ln*(x+6)-ln*3 equation:


Simplifying
ln * x = ln(x + 6) + -1ln * 3

Multiply ln * x
lnx = ln(x + 6) + -1ln * 3

Reorder the terms:
lnx = ln(6 + x) + -1ln * 3
lnx = (6 * ln + x * ln) + -1ln * 3
lnx = (6ln + lnx) + -1ln * 3

Reorder the terms for easier multiplication:
lnx = 6ln + lnx + -1 * 3ln

Multiply -1 * 3
lnx = 6ln + lnx + -3ln

Reorder the terms:
lnx = 6ln + -3ln + lnx

Combine like terms: 6ln + -3ln = 3ln
lnx = 3ln + lnx

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

Combine like terms: lnx + -1lnx = 0
0 = 3ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
0 = 3ln + 0
0 = 3ln

Solving
0 = 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.
0 + -3ln = 3ln + -3ln
Remove the zero:
-3ln = 3ln + -3ln

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

Divide each side by '-3'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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