2logx+log(x-1)=o

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Solution for 2logx+log(x-1)=o equation:


Simplifying
2logx + log(x + -1) = o

Reorder the terms:
2glox + glo(-1 + x) = o
2glox + (-1 * glo + x * glo) = o
2glox + (-1glo + glox) = o

Reorder the terms:
-1glo + 2glox + glox = o

Combine like terms: 2glox + glox = 3glox
-1glo + 3glox = o

Solving
-1glo + 3glox = o

Solving for variable 'g'.

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

Combine like terms: o + -1o = 0
-1glo + 3glox + -1o = 0

Factor out the Greatest Common Factor (GCF), 'o'.
o(-1gl + 3glx + -1) = 0

Subproblem 1

Set the factor 'o' equal to zero and attempt to solve: Simplifying o = 0 Solving o = 0 Move all terms containing g to the left, all other terms to the right. Add '-1o' to each side of the equation. o + -1o = 0 + -1o Remove the zero: 0 = -1o Simplifying 0 = -1o 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 '(-1gl + 3glx + -1)' equal to zero and attempt to solve: Simplifying -1gl + 3glx + -1 = 0 Reorder the terms: -1 + -1gl + 3glx = 0 Solving -1 + -1gl + 3glx = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1gl + 1 + 3glx = 0 + 1 Reorder the terms: -1 + 1 + -1gl + 3glx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1gl + 3glx = 0 + 1 -1gl + 3glx = 0 + 1 Combine like terms: 0 + 1 = 1 -1gl + 3glx = 1 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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