4ln(x-8)-3=13

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Solution for 4ln(x-8)-3=13 equation:


Simplifying
4ln(x + -8) + -3 = 13

Reorder the terms:
4ln(-8 + x) + -3 = 13
(-8 * 4ln + x * 4ln) + -3 = 13
(-32ln + 4lnx) + -3 = 13

Reorder the terms:
-3 + -32ln + 4lnx = 13

Solving
-3 + -32ln + 4lnx = 13

Solving for variable 'l'.

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

Add '3' to each side of the equation.
-3 + -32ln + 3 + 4lnx = 13 + 3

Reorder the terms:
-3 + 3 + -32ln + 4lnx = 13 + 3

Combine like terms: -3 + 3 = 0
0 + -32ln + 4lnx = 13 + 3
-32ln + 4lnx = 13 + 3

Combine like terms: 13 + 3 = 16
-32ln + 4lnx = 16

Reorder the terms:
-16 + -32ln + 4lnx = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + -32ln + 4lnx = 0

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

Ignore the factor 4.

Subproblem 1

Set the factor '(-4 + -8ln + lnx)' equal to zero and attempt to solve: Simplifying -4 + -8ln + lnx = 0 Solving -4 + -8ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -8ln + 4 + lnx = 0 + 4 Reorder the terms: -4 + 4 + -8ln + lnx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -8ln + lnx = 0 + 4 -8ln + lnx = 0 + 4 Combine like terms: 0 + 4 = 4 -8ln + lnx = 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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