Ln(9)=ln(x^2)

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Solution for Ln(9)=ln(x^2) equation: 


Simplifying
Ln(9) = ln(x2)

Reorder the terms for easier multiplication:
9nL = ln(x2)

Multiply ln * x2
9nL = lnx2

Solving
9nL = lnx2

Solving for variable 'n'.

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

Add '-1lnx2' to each side of the equation.
-1lnx2 + 9nL = lnx2 + -1lnx2

Combine like terms: lnx2 + -1lnx2 = 0
-1lnx2 + 9nL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-1lx2 + 9L) = 0


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

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0

Subproblem 2
Set the factor '(-1lx2 + 9L)' equal to zero and attempt to solve:

Simplifying
-1lx2 + 9L = 0

Reorder the terms:
9L + -1lx2 = 0

Solving
9L + -1lx2 = 0

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

Add '-9L' to each side of the equation.
9L + -9L + -1lx2 = 0 + -9L

Combine like terms: 9L + -9L = 0
0 + -1lx2 = 0 + -9L
-1lx2 = 0 + -9L
Remove the zero:
-1lx2 = -9L

Add 'lx2' to each side of the equation.
-1lx2 + lx2 = -9L + lx2

Combine like terms: -1lx2 + lx2 = 0
0 = -9L + lx2

Simplifying
0 = -9L + lx2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}

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