ln(4)+ln(x+2)=ln(19)

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Solution for ln(4)+ln(x+2)=ln(19) equation:


Simplifying
ln(4) + ln(x + 2) = ln(19)

Reorder the terms for easier multiplication:
4ln + ln(x + 2) = ln(19)

Reorder the terms:
4ln + ln(2 + x) = ln(19)
4ln + (2 * ln + x * ln) = ln(19)
4ln + (2ln + lnx) = ln(19)

Combine like terms: 4ln + 2ln = 6ln
6ln + lnx = ln(19)

Reorder the terms for easier multiplication:
6ln + lnx = 19ln

Solving
6ln + lnx = 19ln

Solving for variable 'l'.

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

Add '-19ln' to each side of the equation.
6ln + -19ln + lnx = 19ln + -19ln

Combine like terms: 6ln + -19ln = -13ln
-13ln + lnx = 19ln + -19ln

Combine like terms: 19ln + -19ln = 0
-13ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-13 + 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 '(-13 + x)' equal to zero and attempt to solve: Simplifying -13 + x = 0 Solving -13 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + x = 0 + 13 x = 0 + 13 Combine like terms: 0 + 13 = 13 x = 13 Add '-1x' to each side of the equation. x + -1x = 13 + -1x Combine like terms: x + -1x = 0 0 = 13 + -1x Simplifying 0 = 13 + -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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