In(x)+3=In(9x-2)

Solution for In(x)+3=In(9x-2) equation:

Simplifying
In(x) + 3 = In(9x + -2)

Multiply nI * x
nxI + 3 = In(9x + -2)

Reorder the terms:
3 + nxI = In(9x + -2)

Reorder the terms:
3 + nxI = nI(-2 + 9x)
3 + nxI = (-2 * nI + 9x * nI)
3 + nxI = (-2nI + 9nxI)

Solving
3 + nxI = -2nI + 9nxI

Solving for variable 'n'.

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

Add '2nI' to each side of the equation.
3 + 2nI + nxI = -2nI + 2nI + 9nxI

Combine like terms: -2nI + 2nI = 0
3 + 2nI + nxI = 0 + 9nxI
3 + 2nI + nxI = 9nxI

Add '-9nxI' to each side of the equation.
3 + 2nI + nxI + -9nxI = 9nxI + -9nxI

Combine like terms: nxI + -9nxI = -8nxI
3 + 2nI + -8nxI = 9nxI + -9nxI

Combine like terms: 9nxI + -9nxI = 0
3 + 2nI + -8nxI = 0

Add '-3' to each side of the equation.
3 + 2nI + -3 + -8nxI = 0 + -3

Reorder the terms:
3 + -3 + 2nI + -8nxI = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2nI + -8nxI = 0 + -3
2nI + -8nxI = 0 + -3

Combine like terms: 0 + -3 = -3
2nI + -8nxI = -3

Reorder the terms:
3 + 2nI + -8nxI = -3 + 3

Combine like terms: -3 + 3 = 0
3 + 2nI + -8nxI = 0

The solution to this equation could not be determined.