ln(log(x))=log(2)

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Solution for ln(log(x))=log(2) equation:


Simplifying
ln(log(x)) = log(2)

Multiply glo * x
ln(glox) = log(2)

Multiply ln * glox
gl2nox = log(2)

Reorder the terms for easier multiplication:
gl2nox = 2glo

Solving
gl2nox = 2glo

Solving for variable 'g'.

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

Add '-2glo' to each side of the equation.
-2glo + gl2nox = 2glo + -2glo

Combine like terms: 2glo + -2glo = 0
-2glo + gl2nox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-2 + lnx) = 0

Subproblem 1

Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 0 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 '(-2 + lnx)' equal to zero and attempt to solve: Simplifying -2 + lnx = 0 Solving -2 + lnx = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + lnx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + lnx = 0 + 2 lnx = 0 + 2 Combine like terms: 0 + 2 = 2 lnx = 2 Add '-1lnx' to each side of the equation. lnx + -1lnx = 2 + -1lnx Combine like terms: lnx + -1lnx = 0 0 = 2 + -1lnx Simplifying 0 = 2 + -1lnx 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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