ln(2)+ln(x+8)=ln(19)

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Solution for ln(2)+ln(x+8)=ln(19) equation:


Simplifying
ln(2) + ln(x + 8) = ln(19)

Reorder the terms for easier multiplication:
2ln + ln(x + 8) = ln(19)

Reorder the terms:
2ln + ln(8 + x) = ln(19)
2ln + (8 * ln + x * ln) = ln(19)
2ln + (8ln + lnx) = ln(19)

Combine like terms: 2ln + 8ln = 10ln
10ln + lnx = ln(19)

Reorder the terms for easier multiplication:
10ln + lnx = 19ln

Solving
10ln + 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.
10ln + -19ln + lnx = 19ln + -19ln

Combine like terms: 10ln + -19ln = -9ln
-9ln + lnx = 19ln + -19ln

Combine like terms: 19ln + -19ln = 0
-9ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-9 + 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 '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Add '-1x' to each side of the equation. x + -1x = 9 + -1x Combine like terms: x + -1x = 0 0 = 9 + -1x Simplifying 0 = 9 + -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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