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Simplifying log(2r + 9) = log(4r + -5) Reorder the terms: glo(9 + 2r) = log(4r + -5) (9 * glo + 2r * glo) = log(4r + -5) (9glo + 2glor) = log(4r + -5) Reorder the terms: 9glo + 2glor = glo(-5 + 4r) 9glo + 2glor = (-5 * glo + 4r * glo) 9glo + 2glor = (-5glo + 4glor) Solving 9glo + 2glor = -5glo + 4glor Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '5glo' to each side of the equation. 9glo + 5glo + 2glor = -5glo + 5glo + 4glor Combine like terms: 9glo + 5glo = 14glo 14glo + 2glor = -5glo + 5glo + 4glor Combine like terms: -5glo + 5glo = 0 14glo + 2glor = 0 + 4glor 14glo + 2glor = 4glor Add '-4glor' to each side of the equation. 14glo + 2glor + -4glor = 4glor + -4glor Combine like terms: 2glor + -4glor = -2glor 14glo + -2glor = 4glor + -4glor Combine like terms: 4glor + -4glor = 0 14glo + -2glor = 0 Factor out the Greatest Common Factor (GCF), '2glo'. 2glo(7 + -1r) = 0 Ignore the factor 2.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 '(7 + -1r)' equal to zero and attempt to solve: Simplifying 7 + -1r = 0 Solving 7 + -1r = 0 Move all terms containing g to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1r = 0 + -7 -1r = 0 + -7 Combine like terms: 0 + -7 = -7 -1r = -7 Add 'r' to each side of the equation. -1r + r = -7 + r Combine like terms: -1r + r = 0 0 = -7 + r Simplifying 0 = -7 + r 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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