3xln(x)=ln(8)+ln(8)

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Solution for 3xln(x)=ln(8)+ln(8) equation: 


Simplifying
3xln(x) = ln(8) + ln(8)

Multiply lnx * x
3lnx2 = ln(8) + ln(8)

Reorder the terms for easier multiplication:
3lnx2 = 8ln + ln(8)

Reorder the terms for easier multiplication:
3lnx2 = 8ln + 8ln

Combine like terms: 8ln + 8ln = 16ln
3lnx2 = 16ln

Solving
3lnx2 = 16ln

Solving for variable 'l'.

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

Add '-16ln' to each side of the equation.
-16ln + 3lnx2 = 16ln + -16ln

Combine like terms: 16ln + -16ln = 0
-16ln + 3lnx2 = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-16 + 3x2) = 0


Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve:

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 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 '(-16 + 3x2)' equal to zero and attempt to solve:

Simplifying
-16 + 3x2 = 0

Solving
-16 + 3x2 = 0

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

Add '16' to each side of the equation.
-16 + 16 + 3x2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + 3x2 = 0 + 16
3x2 = 0 + 16

Combine like terms: 0 + 16 = 16
3x2 = 16

Add '-3x2' to each side of the equation.
3x2 + -3x2 = 16 + -3x2

Combine like terms: 3x2 + -3x2 = 0
0 = 16 + -3x2

Simplifying
0 = 16 + -3x2

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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