2log(x-6)=10

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Solution for 2log(x-6)=10 equation:


Simplifying
2log(x + -6) = 10

Reorder the terms:
2glo(-6 + x) = 10
(-6 * 2glo + x * 2glo) = 10
(-12glo + 2glox) = 10

Solving
-12glo + 2glox = 10

Solving for variable 'g'.

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

Reorder the terms:
-10 + -12glo + 2glox = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + -12glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + -6glo + glox) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-5 + -6glo + glox)' equal to zero and attempt to solve: Simplifying -5 + -6glo + glox = 0 Solving -5 + -6glo + glox = 0 Move all terms containing g to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -6glo + 5 + glox = 0 + 5 Reorder the terms: -5 + 5 + -6glo + glox = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -6glo + glox = 0 + 5 -6glo + glox = 0 + 5 Combine like terms: 0 + 5 = 5 -6glo + glox = 5 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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