2ln(x-3)+4=10

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Solution for 2ln(x-3)+4=10 equation:


Simplifying
2ln(x + -3) + 4 = 10

Reorder the terms:
2ln(-3 + x) + 4 = 10
(-3 * 2ln + x * 2ln) + 4 = 10
(-6ln + 2lnx) + 4 = 10

Reorder the terms:
4 + -6ln + 2lnx = 10

Solving
4 + -6ln + 2lnx = 10

Solving for variable 'l'.

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

Add '-4' to each side of the equation.
4 + -6ln + -4 + 2lnx = 10 + -4

Reorder the terms:
4 + -4 + -6ln + 2lnx = 10 + -4

Combine like terms: 4 + -4 = 0
0 + -6ln + 2lnx = 10 + -4
-6ln + 2lnx = 10 + -4

Combine like terms: 10 + -4 = 6
-6ln + 2lnx = 6

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

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

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

Ignore the factor 2.

Subproblem 1

Set the factor '(-3 + -3ln + lnx)' equal to zero and attempt to solve: Simplifying -3 + -3ln + lnx = 0 Solving -3 + -3ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -3ln + 3 + lnx = 0 + 3 Reorder the terms: -3 + 3 + -3ln + lnx = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -3ln + lnx = 0 + 3 -3ln + lnx = 0 + 3 Combine like terms: 0 + 3 = 3 -3ln + lnx = 3 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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