2log(6x+7)=6

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Solution for 2log(6x+7)=6 equation:


Simplifying
2log(6x + 7) = 6

Reorder the terms:
2glo(7 + 6x) = 6
(7 * 2glo + 6x * 2glo) = 6
(14glo + 12glox) = 6

Solving
14glo + 12glox = 6

Solving for variable 'g'.

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

Reorder the terms:
-6 + 14glo + 12glox = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + 14glo + 12glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-3 + 7glo + 6glox) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-3 + 7glo + 6glox)' equal to zero and attempt to solve: Simplifying -3 + 7glo + 6glox = 0 Solving -3 + 7glo + 6glox = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 7glo + 3 + 6glox = 0 + 3 Reorder the terms: -3 + 3 + 7glo + 6glox = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7glo + 6glox = 0 + 3 7glo + 6glox = 0 + 3 Combine like terms: 0 + 3 = 3 7glo + 6glox = 3 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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