In(48.5)=In(x-4)

Solution for In(48.5)=In(x-4) equation:

Simplifying
In(48.5) = In(x + -4)

Reorder the terms for easier multiplication:
48.5nI = In(x + -4)

Reorder the terms:
48.5nI = nI(-4 + x)
48.5nI = (-4 * nI + x * nI)
48.5nI = (-4nI + nxI)

Solving
48.5nI = -4nI + nxI

Solving for variable 'n'.

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

Add '4nI' to each side of the equation.
48.5nI + 4nI = -4nI + 4nI + nxI

Combine like terms: 48.5nI + 4nI = 52.5nI
52.5nI = -4nI + 4nI + nxI

Combine like terms: -4nI + 4nI = 0
52.5nI = 0 + nxI
52.5nI = nxI

Add '-1nxI' to each side of the equation.
52.5nI + -1nxI = nxI + -1nxI

Combine like terms: nxI + -1nxI = 0
52.5nI + -1nxI = 0

The solution to this equation could not be determined.