In(x)=2In(3)

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

Simplifying
In(x) = 2In(3)

Multiply nI * x
nxI = 2In(3)

Reorder the terms for easier multiplication:
nxI = 2 * 3nI

Multiply 2 * 3
nxI = 6nI

Solving
nxI = 6nI

Solving for variable 'n'.

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

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

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

Factor out the Greatest Common Factor (GCF), 'nI'.
nI(-6 + 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 '(-6 + x)' equal to zero and attempt to solve:

Simplifying
-6 + x = 0

Solving
-6 + x = 0

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

Add '6' to each side of the equation.
-6 + 6 + x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + x = 0 + 6
x = 0 + 6

Combine like terms: 0 + 6 = 6
x = 6

Add '-1x' to each side of the equation.
x + -1x = 6 + -1x

Combine like terms: x + -1x = 0
0 = 6 + -1x

Simplifying
0 = 6 + -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.