2log(2x-6)=8

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Solution for 2log(2x-6)=8 equation:


Simplifying
2log(2x + -6) = 8

Reorder the terms:
2glo(-6 + 2x) = 8
(-6 * 2glo + 2x * 2glo) = 8
(-12glo + 4glox) = 8

Solving
-12glo + 4glox = 8

Solving for variable 'g'.

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

Reorder the terms:
-8 + -12glo + 4glox = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + -12glo + 4glox = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-2 + -3glo + glox) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-2 + -3glo + glox)' equal to zero and attempt to solve: Simplifying -2 + -3glo + glox = 0 Solving -2 + -3glo + glox = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -3glo + 2 + glox = 0 + 2 Reorder the terms: -2 + 2 + -3glo + glox = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3glo + glox = 0 + 2 -3glo + glox = 0 + 2 Combine like terms: 0 + 2 = 2 -3glo + glox = 2 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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