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Simplifying log(8)(y + 1) = log(8)(3y + -5) Reorder the terms: glo * 8(1 + y) = log(8)(3y + -5) Reorder the terms for easier multiplication: 8glo(1 + y) = log(8)(3y + -5) (1 * 8glo + y * 8glo) = log(8)(3y + -5) (8glo + 8gloy) = log(8)(3y + -5) Reorder the terms: 8glo + 8gloy = glo * 8(-5 + 3y) Reorder the terms for easier multiplication: 8glo + 8gloy = 8glo(-5 + 3y) 8glo + 8gloy = (-5 * 8glo + 3y * 8glo) 8glo + 8gloy = (-40glo + 24gloy) Solving 8glo + 8gloy = -40glo + 24gloy Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '40glo' to each side of the equation. 8glo + 40glo + 8gloy = -40glo + 40glo + 24gloy Combine like terms: 8glo + 40glo = 48glo 48glo + 8gloy = -40glo + 40glo + 24gloy Combine like terms: -40glo + 40glo = 0 48glo + 8gloy = 0 + 24gloy 48glo + 8gloy = 24gloy Add '-24gloy' to each side of the equation. 48glo + 8gloy + -24gloy = 24gloy + -24gloy Combine like terms: 8gloy + -24gloy = -16gloy 48glo + -16gloy = 24gloy + -24gloy Combine like terms: 24gloy + -24gloy = 0 48glo + -16gloy = 0 Factor out the Greatest Common Factor (GCF), '16glo'. 16glo(3 + -1y) = 0 Ignore the factor 16.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 '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 0 Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Add 'y' to each side of the equation. -1y + y = -3 + y Combine like terms: -1y + y = 0 0 = -3 + y Simplifying 0 = -3 + 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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