Ln^2=16

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Solution for Ln^2=16 equation:


Simplifying
Ln2 = 16

Solving
n2L = 16

Solving for variable 'n'.

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

Divide each side by 'L'.
n2 = 16L-1

Simplifying
n2 = 16L-1

Reorder the terms:
-16L-1 + n2 = 16L-1 + -16L-1

Combine like terms: 16L-1 + -16L-1 = 0
-16L-1 + n2 = 0

Factor out the Greatest Common Factor (GCF), 'L-1'.
L-1(-16 + n2L) = 0

Subproblem 1

Set the factor 'L-1' equal to zero and attempt to solve: Simplifying L-1 = 0 Solving L-1 = 0 Move all terms containing n to the left, all other terms to the right. Add '-1L-1' to each side of the equation. L-1 + -1L-1 = 0 + -1L-1 Remove the zero: 0 = -1L-1 Simplifying 0 = -1L-1 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 + n2L)' equal to zero and attempt to solve: Simplifying -16 + n2L = 0 Solving -16 + n2L = 0 Move all terms containing n to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + n2L = 0 + 16 Combine like terms: -16 + 16 = 0 0 + n2L = 0 + 16 n2L = 0 + 16 Combine like terms: 0 + 16 = 16 n2L = 16 Divide each side by 'L'. n2 = 16L-1 Simplifying n2 = 16L-1 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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