6+4ln(x-3)=38

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


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

Reorder the terms:
6 + 4ln(-3 + x) = 38
6 + (-3 * 4ln + x * 4ln) = 38
6 + (-12ln + 4lnx) = 38

Solving
6 + -12ln + 4lnx = 38

Solving for variable 'l'.

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

Add '-6' to each side of the equation.
6 + -12ln + -6 + 4lnx = 38 + -6

Reorder the terms:
6 + -6 + -12ln + 4lnx = 38 + -6

Combine like terms: 6 + -6 = 0
0 + -12ln + 4lnx = 38 + -6
-12ln + 4lnx = 38 + -6

Combine like terms: 38 + -6 = 32
-12ln + 4lnx = 32

Reorder the terms:
-32 + -12ln + 4lnx = 32 + -32

Combine like terms: 32 + -32 = 0
-32 + -12ln + 4lnx = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-8 + -3ln + lnx) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-8 + -3ln + lnx)' equal to zero and attempt to solve: Simplifying -8 + -3ln + lnx = 0 Solving -8 + -3ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -3ln + 8 + lnx = 0 + 8 Reorder the terms: -8 + 8 + -3ln + lnx = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -3ln + lnx = 0 + 8 -3ln + lnx = 0 + 8 Combine like terms: 0 + 8 = 8 -3ln + lnx = 8 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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