5ln(x-1)=20

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Solution for 5ln(x-1)=20 equation:


Simplifying
5ln(x + -1) = 20

Reorder the terms:
5ln(-1 + x) = 20
(-1 * 5ln + x * 5ln) = 20
(-5ln + 5lnx) = 20

Solving
-5ln + 5lnx = 20

Solving for variable 'l'.

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

Reorder the terms:
-20 + -5ln + 5lnx = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + -5ln + 5lnx = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(-4 + -1ln + lnx) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-4 + -1ln + lnx)' equal to zero and attempt to solve: Simplifying -4 + -1ln + lnx = 0 Solving -4 + -1ln + 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 + -1ln + 4 + lnx = 0 + 4 Reorder the terms: -4 + 4 + -1ln + lnx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1ln + lnx = 0 + 4 -1ln + lnx = 0 + 4 Combine like terms: 0 + 4 = 4 -1ln + 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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