ln(x+9)=ln(13)

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Solution for ln(x+9)=ln(13) equation:


Simplifying
ln(x + 9) = ln(13)

Reorder the terms:
ln(9 + x) = ln(13)
(9 * ln + x * ln) = ln(13)
(9ln + lnx) = ln(13)

Reorder the terms for easier multiplication:
9ln + lnx = 13ln

Solving
9ln + lnx = 13ln

Solving for variable 'l'.

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

Add '-13ln' to each side of the equation.
9ln + -13ln + lnx = 13ln + -13ln

Combine like terms: 9ln + -13ln = -4ln
-4ln + lnx = 13ln + -13ln

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-4 + 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 '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Add '-1x' to each side of the equation. x + -1x = 4 + -1x Combine like terms: x + -1x = 0 0 = 4 + -1x Simplifying 0 = 4 + -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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