2log(x-5)=8

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Solution for 2log(x-5)=8 equation:


Simplifying
2log(x + -5) = 8

Reorder the terms:
2glo(-5 + x) = 8
(-5 * 2glo + x * 2glo) = 8
(-10glo + 2glox) = 8

Solving
-10glo + 2glox = 8

Solving for variable 'g'.

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

Reorder the terms:
-8 + -10glo + 2glox = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + -10glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + -5glo + glox) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-4 + -5glo + glox)' equal to zero and attempt to solve: Simplifying -4 + -5glo + glox = 0 Solving -4 + -5glo + glox = 0 Move all terms containing g to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -5glo + 4 + glox = 0 + 4 Reorder the terms: -4 + 4 + -5glo + glox = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5glo + glox = 0 + 4 -5glo + glox = 0 + 4 Combine like terms: 0 + 4 = 4 -5glo + glox = 4 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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