6ln(x-3)-4=38

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Solution for 6ln(x-3)-4=38 equation:


Simplifying
6ln(x + -3) + -4 = 38

Reorder the terms:
6ln(-3 + x) + -4 = 38
(-3 * 6ln + x * 6ln) + -4 = 38
(-18ln + 6lnx) + -4 = 38

Reorder the terms:
-4 + -18ln + 6lnx = 38

Solving
-4 + -18ln + 6lnx = 38

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 + -18ln + 4 + 6lnx = 38 + 4

Reorder the terms:
-4 + 4 + -18ln + 6lnx = 38 + 4

Combine like terms: -4 + 4 = 0
0 + -18ln + 6lnx = 38 + 4
-18ln + 6lnx = 38 + 4

Combine like terms: 38 + 4 = 42
-18ln + 6lnx = 42

Reorder the terms:
-42 + -18ln + 6lnx = 42 + -42

Combine like terms: 42 + -42 = 0
-42 + -18ln + 6lnx = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-7 + -3ln + lnx) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(-7 + -3ln + lnx)' equal to zero and attempt to solve: Simplifying -7 + -3ln + lnx = 0 Solving -7 + -3ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -3ln + 7 + lnx = 0 + 7 Reorder the terms: -7 + 7 + -3ln + lnx = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3ln + lnx = 0 + 7 -3ln + lnx = 0 + 7 Combine like terms: 0 + 7 = 7 -3ln + lnx = 7 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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