In(2x)=4In(2)

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Solution for In(2x)=4In(2) equation: 


Simplifying
In(2x) = 4In(2)

Remove parenthesis around (2x)
nI * 2x = 4In(2)

Reorder the terms for easier multiplication:
2nI * x = 4In(2)

Multiply nI * x
2nxI = 4In(2)

Reorder the terms for easier multiplication:
2nxI = 4 * 2nI

Multiply 4 * 2
2nxI = 8nI

Solving
2nxI = 8nI

Solving for variable 'n'.

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

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

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

Factor out the Greatest Common Factor (GCF), '2nI'.
2nI(-4 + x) = 0

Ignore the factor 2.

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 '(-4 + x)' equal to zero and attempt to solve:

Simplifying
-4 + x = 0

Solving
-4 + x = 0

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

Add '4' to each side of the equation.
-4 + 4 + x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + x = 0 + 4
x = 0 + 4

Combine like terms: 0 + 4 = 4
x = 4

Add '-1x' to each side of the equation.
x + -1x = 4 + -1x

Combine like terms: x + -1x = 0
0 = 4 + -1x

Simplifying
0 = 4 + -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.

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