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Simplifying log(6)(2y + 3) = log(6) * 5y Reorder the terms: glo * 6(3 + 2y) = log(6) * 5y Reorder the terms for easier multiplication: 6glo(3 + 2y) = log(6) * 5y (3 * 6glo + 2y * 6glo) = log(6) * 5y (18glo + 12gloy) = log(6) * 5y Reorder the terms for easier multiplication: 18glo + 12gloy = 6 * 5glo * y Multiply 6 * 5 18glo + 12gloy = 30glo * y Multiply glo * y 18glo + 12gloy = 30gloy Solving 18glo + 12gloy = 30gloy Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-30gloy' to each side of the equation. 18glo + 12gloy + -30gloy = 30gloy + -30gloy Combine like terms: 12gloy + -30gloy = -18gloy 18glo + -18gloy = 30gloy + -30gloy Combine like terms: 30gloy + -30gloy = 0 18glo + -18gloy = 0 Factor out the Greatest Common Factor (GCF), '18glo'. 18glo(1 + -1y) = 0 Ignore the factor 18.Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + -1y)' equal to zero and attempt to solve: Simplifying 1 + -1y = 0 Solving 1 + -1y = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1y = 0 + -1 -1y = 0 + -1 Combine like terms: 0 + -1 = -1 -1y = -1 Add 'y' to each side of the equation. -1y + y = -1 + y Combine like terms: -1y + y = 0 0 = -1 + y Simplifying 0 = -1 + y 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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