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Simplifying 2log(x) + -1log(5) = log(45) Multiply glo * x 2glox + -1log(5) = log(45) Reorder the terms for easier multiplication: 2glox + -1 * 5glo = log(45) Multiply -1 * 5 2glox + -5glo = log(45) Reorder the terms: -5glo + 2glox = log(45) Reorder the terms for easier multiplication: -5glo + 2glox = 45glo Solving -5glo + 2glox = 45glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-45glo' to each side of the equation. -5glo + -45glo + 2glox = 45glo + -45glo Combine like terms: -5glo + -45glo = -50glo -50glo + 2glox = 45glo + -45glo Combine like terms: 45glo + -45glo = 0 -50glo + 2glox = 0 Factor out the Greatest Common Factor (GCF), '2glo'. 2glo(-25 + x) = 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 '(-25 + x)' equal to zero and attempt to solve: Simplifying -25 + x = 0 Solving -25 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + x = 0 + 25 x = 0 + 25 Combine like terms: 0 + 25 = 25 x = 25 Add '-1x' to each side of the equation. x + -1x = 25 + -1x Combine like terms: x + -1x = 0 0 = 25 + -1x Simplifying 0 = 25 + -1x 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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