2In(x+3)=In(x+5)

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Solution for 2In(x+3)=In(x+5) equation: 


Simplifying
2In(x + 3) = In(x + 5)

Reorder the terms:
2nI(3 + x) = In(x + 5)
(3 * 2nI + x * 2nI) = In(x + 5)
(6nI + 2nxI) = In(x + 5)

Reorder the terms:
6nI + 2nxI = nI(5 + x)
6nI + 2nxI = (5 * nI + x * nI)
6nI + 2nxI = (5nI + nxI)

Solving
6nI + 2nxI = 5nI + nxI

Solving for variable 'n'.

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

Add '-5nI' to each side of the equation.
6nI + -5nI + 2nxI = 5nI + -5nI + nxI

Combine like terms: 6nI + -5nI = 1nI
1nI + 2nxI = 5nI + -5nI + nxI

Combine like terms: 5nI + -5nI = 0
1nI + 2nxI = 0 + nxI
1nI + 2nxI = nxI

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

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

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

Factor out the Greatest Common Factor (GCF), 'nI'.
nI(1 + 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 '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

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

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

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

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

Simplifying
0 = -1 + -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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