In(x)=In(x-4)+In+6

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Solution for In(x)=In(x-4)+In+6 equation:


Simplifying
In(x) = In(x + -4) + In + 6

Multiply nI * x
nxI = In(x + -4) + In + 6

Reorder the terms:
nxI = nI(-4 + x) + In + 6
nxI = (-4 * nI + x * nI) + In + 6
nxI = (-4nI + nxI) + In + 6

Reorder the terms:
nxI = 6 + -4nI + nI + nxI

Combine like terms: -4nI + nI = -3nI
nxI = 6 + -3nI + nxI

Add '-1nxI' to each side of the equation.
nxI + -1nxI = 6 + -3nI + nxI + -1nxI

Combine like terms: nxI + -1nxI = 0
0 = 6 + -3nI + nxI + -1nxI

Combine like terms: nxI + -1nxI = 0
0 = 6 + -3nI + 0
0 = 6 + -3nI

Solving
0 = 6 + -3nI

Solving for variable 'n'.

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

Add '3nI' to each side of the equation.
0 + 3nI = 6 + -3nI + 3nI
Remove the zero:
3nI = 6 + -3nI + 3nI

Combine like terms: -3nI + 3nI = 0
3nI = 6 + 0
3nI = 6

Divide each side by '3I'.
n = 2I-1

Simplifying
n = 2I-1

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