6log(5x+30)=12

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Solution for 6log(5x+30)=12 equation:


Simplifying
6log(5x + 30) = 12

Reorder the terms:
6glo(30 + 5x) = 12
(30 * 6glo + 5x * 6glo) = 12
(180glo + 30glox) = 12

Solving
180glo + 30glox = 12

Solving for variable 'g'.

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

Reorder the terms:
-12 + 180glo + 30glox = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + 180glo + 30glox = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-2 + 30glo + 5glox) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(-2 + 30glo + 5glox)' equal to zero and attempt to solve: Simplifying -2 + 30glo + 5glox = 0 Solving -2 + 30glo + 5glox = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 30glo + 2 + 5glox = 0 + 2 Reorder the terms: -2 + 2 + 30glo + 5glox = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 30glo + 5glox = 0 + 2 30glo + 5glox = 0 + 2 Combine like terms: 0 + 2 = 2 30glo + 5glox = 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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