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Simplifying log(45) + -2log(3) = log(x) Reorder the terms for easier multiplication: 45glo + -2log(3) = log(x) Reorder the terms for easier multiplication: 45glo + -2 * 3glo = log(x) Multiply -2 * 3 45glo + -6glo = log(x) Combine like terms: 45glo + -6glo = 39glo 39glo = log(x) Multiply glo * x 39glo = glox Solving 39glo = glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1glox' to each side of the equation. 39glo + -1glox = glox + -1glox Combine like terms: glox + -1glox = 0 39glo + -1glox = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(39 + -1x) = 0Subproblem 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 '(39 + -1x)' equal to zero and attempt to solve: Simplifying 39 + -1x = 0 Solving 39 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -1x = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -1x = 0 + -39 -1x = 0 + -39 Combine like terms: 0 + -39 = -39 -1x = -39 Add 'x' to each side of the equation. -1x + x = -39 + x Combine like terms: -1x + x = 0 0 = -39 + x Simplifying 0 = -39 + 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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