2ln(x-6)=10

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


Simplifying
2ln(x + -6) = 10

Reorder the terms:
2ln(-6 + x) = 10
(-6 * 2ln + x * 2ln) = 10
(-12ln + 2lnx) = 10

Solving
-12ln + 2lnx = 10

Solving for variable 'l'.

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

Reorder the terms:
-10 + -12ln + 2lnx = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + -12ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + -6ln + lnx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-5 + -6ln + lnx)' equal to zero and attempt to solve: Simplifying -5 + -6ln + lnx = 0 Solving -5 + -6ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -6ln + 5 + lnx = 0 + 5 Reorder the terms: -5 + 5 + -6ln + lnx = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6ln + lnx = 0 + 5 -6ln + lnx = 0 + 5 Combine like terms: 0 + 5 = 5 -6ln + lnx = 5 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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