Ln(x)+ln(x^2)=ln(8)

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Solution for Ln(x)+ln(x^2)=ln(8) equation: 


Simplifying
Ln(x) + ln(x2) = ln(8)

Multiply nL * x
nxL + ln(x2) = ln(8)

Multiply ln * x2
nxL + lnx2 = ln(8)

Reorder the terms:
lnx2 + nxL = ln(8)

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

Solving
lnx2 + nxL = 8ln

Solving for variable 'l'.

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

Add '-8ln' to each side of the equation.
lnx2 + -8ln + nxL = 8ln + -8ln

Reorder the terms:
-8ln + lnx2 + nxL = 8ln + -8ln

Combine like terms: 8ln + -8ln = 0
-8ln + lnx2 + nxL = 0

Add '-1nxL' to each side of the equation.
-8ln + lnx2 + nxL + -1nxL = 0 + -1nxL

Combine like terms: nxL + -1nxL = 0
-8ln + lnx2 + 0 = 0 + -1nxL
-8ln + lnx2 = 0 + -1nxL
Remove the zero:
-8ln + lnx2 = -1nxL

Combine like terms: -1nxL + nxL = 0
-8ln + lnx2 + nxL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-8l + lx2 + xL) = 0


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

Simplifying
n = 0

Solving
n = 0

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

Add '-1n' to each side of the equation.
n + -1n = 0 + -1n
Remove the zero:
0 = -1n

Simplifying
0 = -1n

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 '(-8l + lx2 + xL)' equal to zero and attempt to solve:

Simplifying
-8l + lx2 + xL = 0

Solving
-8l + lx2 + xL = 0

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

Add '-1xL' to each side of the equation.
-8l + lx2 + xL + -1xL = 0 + -1xL

Combine like terms: xL + -1xL = 0
-8l + lx2 + 0 = 0 + -1xL
-8l + lx2 = 0 + -1xL
Remove the zero:
-8l + lx2 = -1xL

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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