3ln(x-5)=-3

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Solution for 3ln(x-5)=-3 equation:


Simplifying
3ln(x + -5) = -3

Reorder the terms:
3ln(-5 + x) = -3
(-5 * 3ln + x * 3ln) = -3
(-15ln + 3lnx) = -3

Solving
-15ln + 3lnx = -3

Solving for variable 'l'.

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

Reorder the terms:
3 + -15ln + 3lnx = -3 + 3

Combine like terms: -3 + 3 = 0
3 + -15ln + 3lnx = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(1 + -5ln + lnx) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(1 + -5ln + lnx)' equal to zero and attempt to solve: Simplifying 1 + -5ln + lnx = 0 Solving 1 + -5ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -5ln + -1 + lnx = 0 + -1 Reorder the terms: 1 + -1 + -5ln + lnx = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5ln + lnx = 0 + -1 -5ln + lnx = 0 + -1 Combine like terms: 0 + -1 = -1 -5ln + lnx = -1 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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