In(x+3)+In(4)=2Inx

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Solution for In(x+3)+In(4)=2Inx equation:


Simplifying
In(x + 3) + In(4) = 2Inx

Reorder the terms:
nI(3 + x) + In(4) = 2Inx
(3 * nI + x * nI) + In(4) = 2Inx
(3nI + nxI) + In(4) = 2Inx

Reorder the terms for easier multiplication:
3nI + nxI + 4nI = 2Inx

Reorder the terms:
3nI + 4nI + nxI = 2Inx

Combine like terms: 3nI + 4nI = 7nI
7nI + nxI = 2Inx

Solving
7nI + nxI = 2nxI

Solving for variable 'n'.

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

Add '-2nxI' to each side of the equation.
7nI + nxI + -2nxI = 2nxI + -2nxI

Combine like terms: nxI + -2nxI = -1nxI
7nI + -1nxI = 2nxI + -2nxI

Combine like terms: 2nxI + -2nxI = 0
7nI + -1nxI = 0

Factor out the Greatest Common Factor (GCF), 'nI'.
nI(7 + -1x) = 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 '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing n to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Add 'x' to each side of the equation. -1x + x = -7 + x Combine like terms: -1x + x = 0 0 = -7 + x Simplifying 0 = -7 + x 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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