ln*(x-6)+ln*3=ln*19

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Solution for ln*(x-6)+ln*3=ln*19 equation: 


Simplifying
ln(x + -6) + ln * 3 = ln * 19

Reorder the terms:
ln(-6 + x) + ln * 3 = ln * 19
(-6 * ln + x * ln) + ln * 3 = ln * 19
(-6ln + lnx) + ln * 3 = ln * 19

Reorder the terms for easier multiplication:
-6ln + lnx + 3ln = ln * 19

Reorder the terms:
-6ln + 3ln + lnx = ln * 19

Combine like terms: -6ln + 3ln = -3ln
-3ln + lnx = ln * 19

Reorder the terms for easier multiplication:
-3ln + lnx = 19ln

Solving
-3ln + lnx = 19ln

Solving for variable 'l'.

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

Add '-19ln' to each side of the equation.
-3ln + -19ln + lnx = 19ln + -19ln

Combine like terms: -3ln + -19ln = -22ln
-22ln + lnx = 19ln + -19ln

Combine like terms: 19ln + -19ln = 0
-22ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-22 + 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 '(-22 + x)' equal to zero and attempt to solve:

Simplifying
-22 + x = 0

Solving
-22 + x = 0

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

Add '22' to each side of the equation.
-22 + 22 + x = 0 + 22

Combine like terms: -22 + 22 = 0
0 + x = 0 + 22
x = 0 + 22

Combine like terms: 0 + 22 = 22
x = 22

Add '-1x' to each side of the equation.
x + -1x = 22 + -1x

Combine like terms: x + -1x = 0
0 = 22 + -1x

Simplifying
0 = 22 + -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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