8n^2=64log(n)

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Solution for 8n^2=64log(n) equation:


Simplifying
8n2 = 64log(n)

Multiply glo * n
8n2 = 64glno

Solving
8n2 = 64glno

Solving for variable 'n'.

Reorder the terms:
-64glno + 8n2 = 64glno + -64glno

Combine like terms: 64glno + -64glno = 0
-64glno + 8n2 = 0

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

Ignore the factor 8.

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 '(-8glo + n)' equal to zero and attempt to solve: Simplifying -8glo + n = 0 Solving -8glo + n = 0 Move all terms containing n to the left, all other terms to the right. Add '8glo' to each side of the equation. -8glo + 8glo + n = 0 + 8glo Combine like terms: -8glo + 8glo = 0 0 + n = 0 + 8glo n = 0 + 8glo Remove the zero: n = 8glo Simplifying n = 8glo

Solution

n = {0, 8glo}

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