In(5*x^2)=3+In(a)

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

Simplifying
In(5x2) = 3 + In(a)

Remove parenthesis around (5x2)
nI * 5x2 = 3 + In(a)

Reorder the terms for easier multiplication:
5nI * x2 = 3 + In(a)

Multiply nI * x2
5nx2I = 3 + In(a)

Multiply nI * a
5nx2I = 3 + anI

Solving
5nx2I = 3 + anI

Solving for variable 'n'.

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

Add '-1anI' to each side of the equation.
-1anI + 5nx2I = 3 + anI + -1anI

Combine like terms: anI + -1anI = 0
-1anI + 5nx2I = 3 + 0
-1anI + 5nx2I = 3

Reorder the terms:
-3 + -1anI + 5nx2I = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -1anI + 5nx2I = 0

The solution to this equation could not be determined.