6ln(x-4)+2=10

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Solution for 6ln(x-4)+2=10 equation: 


Simplifying
6ln(x + -4) + 2 = 10

Reorder the terms:
6ln(-4 + x) + 2 = 10
(-4 * 6ln + x * 6ln) + 2 = 10
(-24ln + 6lnx) + 2 = 10

Reorder the terms:
2 + -24ln + 6lnx = 10

Solving
2 + -24ln + 6lnx = 10

Solving for variable 'l'.

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

Add '-2' to each side of the equation.
2 + -24ln + -2 + 6lnx = 10 + -2

Reorder the terms:
2 + -2 + -24ln + 6lnx = 10 + -2

Combine like terms: 2 + -2 = 0
0 + -24ln + 6lnx = 10 + -2
-24ln + 6lnx = 10 + -2

Combine like terms: 10 + -2 = 8
-24ln + 6lnx = 8

Reorder the terms:
-8 + -24ln + 6lnx = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + -24ln + 6lnx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + -12ln + 3lnx) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-4 + -12ln + 3lnx)' equal to zero and attempt to solve:

Simplifying
-4 + -12ln + 3lnx = 0

Solving
-4 + -12ln + 3lnx = 0

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

Add '4' to each side of the equation.
-4 + -12ln + 4 + 3lnx = 0 + 4

Reorder the terms:
-4 + 4 + -12ln + 3lnx = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -12ln + 3lnx = 0 + 4
-12ln + 3lnx = 0 + 4

Combine like terms: 0 + 4 = 4
-12ln + 3lnx = 4

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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