n=8lg(n)

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Solution for n=8lg(n) equation:


Simplifying
n = 8lg(n)

Multiply gl * n
n = 8gln

Solving
n = 8gln

Solving for variable 'n'.

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

Add '-8gln' to each side of the equation.
-8gln + n = 8gln + -8gln

Combine like terms: 8gln + -8gln = 0
-8gln + n = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-8gl + 1) = 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 '(-8gl + 1)' equal to zero and attempt to solve: Simplifying -8gl + 1 = 0 Reorder the terms: 1 + -8gl = 0 Solving 1 + -8gl = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -8gl = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8gl = 0 + -1 -8gl = 0 + -1 Combine like terms: 0 + -1 = -1 -8gl = -1 Add '8gl' to each side of the equation. -8gl + 8gl = -1 + 8gl Combine like terms: -8gl + 8gl = 0 0 = -1 + 8gl Simplifying 0 = -1 + 8gl 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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