In(2x+7)-In(3)=In(x)

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Solution for In(2x+7)-In(3)=In(x) equation: 


Simplifying
In(2x + 7) + -1In(3) = In(x)

Reorder the terms:
nI(7 + 2x) + -1In(3) = In(x)
(7 * nI + 2x * nI) + -1In(3) = In(x)
(7nI + 2nxI) + -1In(3) = In(x)

Reorder the terms for easier multiplication:
7nI + 2nxI + -1 * 3nI = In(x)

Multiply -1 * 3
7nI + 2nxI + -3nI = In(x)

Reorder the terms:
7nI + -3nI + 2nxI = In(x)

Combine like terms: 7nI + -3nI = 4nI
4nI + 2nxI = In(x)

Multiply nI * x
4nI + 2nxI = nxI

Solving
4nI + 2nxI = nxI

Solving for variable 'n'.

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

Add '-1nxI' to each side of the equation.
4nI + 2nxI + -1nxI = nxI + -1nxI

Combine like terms: 2nxI + -1nxI = 1nxI
4nI + 1nxI = nxI + -1nxI

Combine like terms: nxI + -1nxI = 0
4nI + 1nxI = 0

Factor out the Greatest Common Factor (GCF), 'nI'.
nI(4 + x) = 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 '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Add '-1x' to each side of the equation.
x + -1x = -4 + -1x

Combine like terms: x + -1x = 0
0 = -4 + -1x

Simplifying
0 = -4 + -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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