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Simplifying log(x) = 12log(1.035) Multiply glo * x glox = 12log(1.035) Reorder the terms for easier multiplication: glox = 12 * 1.035glo Multiply 12 * 1.035 glox = 12.42glo Solving glox = 12.42glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-12.42glo' to each side of the equation. -12.42glo + glox = 12.42glo + -12.42glo Combine like terms: 12.42glo + -12.42glo = 0.00 -12.42glo + glox = 0.00 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-12.42 + x) = 0.00Subproblem 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 '(-12.42 + x)' equal to zero and attempt to solve: Simplifying -12.42 + x = 0 Solving -12.42 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '12.42' to each side of the equation. -12.42 + 12.42 + x = 0 + 12.42 Combine like terms: -12.42 + 12.42 = 0.00 0.00 + x = 0 + 12.42 x = 0 + 12.42 Combine like terms: 0 + 12.42 = 12.42 x = 12.42 Add '-1x' to each side of the equation. x + -1x = 12.42 + -1x Combine like terms: x + -1x = 0 0 = 12.42 + -1x Simplifying 0 = 12.42 + -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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