6log(2x+14)=12

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Solution for 6log(2x+14)=12 equation:


Simplifying
6log(2x + 14) = 12

Reorder the terms:
6glo(14 + 2x) = 12
(14 * 6glo + 2x * 6glo) = 12
(84glo + 12glox) = 12

Solving
84glo + 12glox = 12

Solving for variable 'g'.

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

Reorder the terms:
-12 + 84glo + 12glox = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + 84glo + 12glox = 0

Factor out the Greatest Common Factor (GCF), '12'.
12(-1 + 7glo + glox) = 0

Ignore the factor 12.

Subproblem 1

Set the factor '(-1 + 7glo + glox)' equal to zero and attempt to solve: Simplifying -1 + 7glo + glox = 0 Solving -1 + 7glo + glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 7glo + 1 + glox = 0 + 1 Reorder the terms: -1 + 1 + 7glo + glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 7glo + glox = 0 + 1 7glo + glox = 0 + 1 Combine like terms: 0 + 1 = 1 7glo + glox = 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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