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Simplifying 2log(4)(3y + -5) = log(4) * 49 Reorder the terms: 2glo * 4(-5 + 3y) = log(4) * 49 Reorder the terms for easier multiplication: 2 * 4glo(-5 + 3y) = log(4) * 49 Multiply 2 * 4 8glo(-5 + 3y) = log(4) * 49 (-5 * 8glo + 3y * 8glo) = log(4) * 49 (-40glo + 24gloy) = log(4) * 49 Reorder the terms for easier multiplication: -40glo + 24gloy = 4 * 49glo Multiply 4 * 49 -40glo + 24gloy = 196glo Solving -40glo + 24gloy = 196glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-196glo' to each side of the equation. -40glo + -196glo + 24gloy = 196glo + -196glo Combine like terms: -40glo + -196glo = -236glo -236glo + 24gloy = 196glo + -196glo Combine like terms: 196glo + -196glo = 0 -236glo + 24gloy = 0 Factor out the Greatest Common Factor (GCF), '4glo'. 4glo(-59 + 6y) = 0 Ignore the factor 4.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 '(-59 + 6y)' equal to zero and attempt to solve: Simplifying -59 + 6y = 0 Solving -59 + 6y = 0 Move all terms containing g to the left, all other terms to the right. Add '59' to each side of the equation. -59 + 59 + 6y = 0 + 59 Combine like terms: -59 + 59 = 0 0 + 6y = 0 + 59 6y = 0 + 59 Combine like terms: 0 + 59 = 59 6y = 59 Add '-6y' to each side of the equation. 6y + -6y = 59 + -6y Combine like terms: 6y + -6y = 0 0 = 59 + -6y Simplifying 0 = 59 + -6y 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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