2ln(x+2)+lnx=ln(13+6)

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Solution for 2ln(x+2)+lnx=ln(13+6) equation:


Simplifying
2ln(x + 2) + lnx = ln(13 + 6)

Reorder the terms:
2ln(2 + x) + lnx = ln(13 + 6)
(2 * 2ln + x * 2ln) + lnx = ln(13 + 6)
(4ln + 2lnx) + lnx = ln(13 + 6)

Combine like terms: 2lnx + lnx = 3lnx
4ln + 3lnx = ln(13 + 6)

Combine like terms: 13 + 6 = 19
4ln + 3lnx = ln(19)

Reorder the terms for easier multiplication:
4ln + 3lnx = 19ln

Solving
4ln + 3lnx = 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.
4ln + -19ln + 3lnx = 19ln + -19ln

Combine like terms: 4ln + -19ln = -15ln
-15ln + 3lnx = 19ln + -19ln

Combine like terms: 19ln + -19ln = 0
-15ln + 3lnx = 0

Factor out the Greatest Common Factor (GCF), '3ln'.
3ln(-5 + x) = 0

Ignore the factor 3.

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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