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Simplifying 2log(x) + -1log(9) = log(225) Multiply glo * x 2glox + -1log(9) = log(225) Reorder the terms for easier multiplication: 2glox + -1 * 9glo = log(225) Multiply -1 * 9 2glox + -9glo = log(225) Reorder the terms: -9glo + 2glox = log(225) Reorder the terms for easier multiplication: -9glo + 2glox = 225glo Solving -9glo + 2glox = 225glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-225glo' to each side of the equation. -9glo + -225glo + 2glox = 225glo + -225glo Combine like terms: -9glo + -225glo = -234glo -234glo + 2glox = 225glo + -225glo Combine like terms: 225glo + -225glo = 0 -234glo + 2glox = 0 Factor out the Greatest Common Factor (GCF), '2glo'. 2glo(-117 + 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 '(-117 + x)' equal to zero and attempt to solve: Simplifying -117 + x = 0 Solving -117 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '117' to each side of the equation. -117 + 117 + x = 0 + 117 Combine like terms: -117 + 117 = 0 0 + x = 0 + 117 x = 0 + 117 Combine like terms: 0 + 117 = 117 x = 117 Add '-1x' to each side of the equation. x + -1x = 117 + -1x Combine like terms: x + -1x = 0 0 = 117 + -1x Simplifying 0 = 117 + -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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