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Simplifying log[3](45) + -1log[3] * x = log[3] * 9 Reorder the terms for easier multiplication: 3 * 45glo + -1log[3] * x = log[3] * 9 Multiply 3 * 45 135glo + -1log[3] * x = log[3] * 9 Reorder the terms for easier multiplication: 135glo + -1 * 3glo * x = log[3] * 9 Multiply -1 * 3 135glo + -3glo * x = log[3] * 9 Multiply glo * x 135glo + -3glox = log[3] * 9 Reorder the terms for easier multiplication: 135glo + -3glox = 3 * 9glo Multiply 3 * 9 135glo + -3glox = 27glo Solving 135glo + -3glox = 27glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-27glo' to each side of the equation. 135glo + -27glo + -3glox = 27glo + -27glo Combine like terms: 135glo + -27glo = 108glo 108glo + -3glox = 27glo + -27glo Combine like terms: 27glo + -27glo = 0 108glo + -3glox = 0 Factor out the Greatest Common Factor (GCF), '3glo'. 3glo(36 + -1x) = 0 Ignore the factor 3.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 '(36 + -1x)' equal to zero and attempt to solve: Simplifying 36 + -1x = 0 Solving 36 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -1x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -1x = 0 + -36 -1x = 0 + -36 Combine like terms: 0 + -36 = -36 -1x = -36 Add 'x' to each side of the equation. -1x + x = -36 + x Combine like terms: -1x + x = 0 0 = -36 + x Simplifying 0 = -36 + x 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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