log(log(64))-log(log(4))=log(x)

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Solution for log(log(64))-log(log(4))=log(x) equation:


Simplifying
log(log(64)) + -1log(log(4)) = log(x)

Reorder the terms for easier multiplication:
glo(64glo) + -1log(log(4)) = log(x)

Remove parenthesis around (64glo)
glo * 64glo + -1log(log(4)) = log(x)

Reorder the terms for easier multiplication:
64glo * glo + -1log(log(4)) = log(x)

Multiply glo * glo
64g2l2o2 + -1log(log(4)) = log(x)

Reorder the terms for easier multiplication:
64g2l2o2 + -1glo(4glo) = log(x)

Remove parenthesis around (4glo)
64g2l2o2 + -1glo * 4glo = log(x)

Reorder the terms for easier multiplication:
64g2l2o2 + -1 * 4glo * glo = log(x)

Multiply -1 * 4
64g2l2o2 + -4glo * glo = log(x)

Multiply glo * glo
64g2l2o2 + -4g2l2o2 = log(x)

Combine like terms: 64g2l2o2 + -4g2l2o2 = 60g2l2o2
60g2l2o2 = log(x)

Multiply glo * x
60g2l2o2 = glox

Solving
60g2l2o2 = glox

Solving for variable 'g'.

Reorder the terms:
-1glox + 60g2l2o2 = glox + -1glox

Combine like terms: glox + -1glox = 0
-1glox + 60g2l2o2 = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-1x + 60glo) = 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 '(-1x + 60glo)' equal to zero and attempt to solve: Simplifying -1x + 60glo = 0 Reorder the terms: 60glo + -1x = 0 Solving 60glo + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add 'x' to each side of the equation. 60glo + -1x + x = 0 + x Combine like terms: -1x + x = 0 60glo + 0 = 0 + x 60glo = 0 + x Remove the zero: 60glo = x Divide each side by '60lo'. g = 0.01666666667l-1o-1x Simplifying g = 0.01666666667l-1o-1x

Solution

g = {0.01666666667l-1o-1x}

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