0=-ln(x+5)

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Solution for 0=-ln(x+5) equation:


Simplifying
0 = -1ln(x + 5)

Reorder the terms:
0 = -1ln(5 + x)
0 = (5 * -1ln + x * -1ln)
0 = (-5ln + -1lnx)

Solving
0 = -5ln + -1lnx

Solving for variable 'l'.

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

Add '5ln' to each side of the equation.
0 + 5ln = -5ln + 5ln + -1lnx
Remove the zero:
5ln = -5ln + 5ln + -1lnx

Combine like terms: -5ln + 5ln = 0
5ln = 0 + -1lnx
5ln = -1lnx

Add 'lnx' to each side of the equation.
5ln + lnx = -1lnx + lnx

Combine like terms: -1lnx + lnx = 0
5ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(5 + x) = 0

Subproblem 1

Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

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