Logx^2-log(x-6)=0

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Solution for Logx^2-log(x-6)=0 equation:


Simplifying
Logx2 + -1log(x + -6) = 0

Reorder the terms:
gox2L + -1glo(-6 + x) = 0
gox2L + (-6 * -1glo + x * -1glo) = 0
gox2L + (6glo + -1glox) = 0

Reorder the terms:
6glo + -1glox + gox2L = 0

Solving
6glo + -1glox + gox2L = 0

Solving for variable 'g'.

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

Factor out the Greatest Common Factor (GCF), 'go'.
go(6l + -1lx + x2L) = 0

Subproblem 1

Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(6l + -1lx + x2L)' equal to zero and attempt to solve: Simplifying 6l + -1lx + x2L = 0 Solving 6l + -1lx + x2L = 0 Move all terms containing g to the left, all other terms to the right. Add '-6l' to each side of the equation. 6l + -1lx + -6l + x2L = 0 + -6l Reorder the terms: 6l + -6l + -1lx + x2L = 0 + -6l Combine like terms: 6l + -6l = 0 0 + -1lx + x2L = 0 + -6l -1lx + x2L = 0 + -6l Remove the zero: -1lx + x2L = -6l Add 'lx' to each side of the equation. -1lx + lx + x2L = -6l + lx Combine like terms: -1lx + lx = 0 0 + x2L = -6l + lx x2L = -6l + lx Add '-1x2L' to each side of the equation. x2L + -1x2L = -6l + lx + -1x2L Combine like terms: x2L + -1x2L = 0 0 = -6l + lx + -1x2L Simplifying 0 = -6l + lx + -1x2L 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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