In(x)+In(x+3)=In(18)

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Solution for In(x)+In(x+3)=In(18) equation:


Simplifying
In(x) + In(x + 3) = In(18)

Multiply nI * x
nxI + In(x + 3) = In(18)

Reorder the terms:
nxI + nI(3 + x) = In(18)
nxI + (3 * nI + x * nI) = In(18)
nxI + (3nI + nxI) = In(18)

Reorder the terms:
3nI + nxI + nxI = In(18)

Combine like terms: nxI + nxI = 2nxI
3nI + 2nxI = In(18)

Reorder the terms for easier multiplication:
3nI + 2nxI = 18nI

Solving
3nI + 2nxI = 18nI

Solving for variable 'n'.

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

Add '-18nI' to each side of the equation.
3nI + -18nI + 2nxI = 18nI + -18nI

Combine like terms: 3nI + -18nI = -15nI
-15nI + 2nxI = 18nI + -18nI

Combine like terms: 18nI + -18nI = 0
-15nI + 2nxI = 0

Factor out the Greatest Common Factor (GCF), 'nI'.
nI(-15 + 2x) = 0

Subproblem 1

Set the factor 'nI' equal to zero and attempt to solve: Simplifying nI = 0 Solving nI = 0 Move all terms containing n to the left, all other terms to the right. Simplifying nI = 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 '(-15 + 2x)' equal to zero and attempt to solve: Simplifying -15 + 2x = 0 Solving -15 + 2x = 0 Move all terms containing n to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 2x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 2x = 0 + 15 2x = 0 + 15 Combine like terms: 0 + 15 = 15 2x = 15 Add '-2x' to each side of the equation. 2x + -2x = 15 + -2x Combine like terms: 2x + -2x = 0 0 = 15 + -2x Simplifying 0 = 15 + -2x 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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