log(logx-1)=0

Solution for log(logx-1)=0 equation:

Simplifying
log(logx + -1) = 0

Reorder the terms:
glo(-1 + glox) = 0
(-1 * glo + glox * glo) = 0
(-1glo + g2l2o2x) = 0

Solving
-1glo + g2l2o2x = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-1 + glox) = 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 '(-1 + glox)' equal to zero and attempt to solve:

Simplifying
-1 + glox = 0

Solving
-1 + glox = 0

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

Add '1' to each side of the equation.
-1 + 1 + glox = 0 + 1

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

Combine like terms: 0 + 1 = 1
glox = 1

Divide each side by 'lox'.
g = l-1o-1x-1

Simplifying
g = l-1o-1x-1
Solution
g = {l-1o-1x-1}