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Simplifying log(3) * x = log(3) * 14 Reorder the terms for easier multiplication: 3glo * x = log(3) * 14 Multiply glo * x 3glox = log(3) * 14 Reorder the terms for easier multiplication: 3glox = 3 * 14glo Multiply 3 * 14 3glox = 42glo Solving 3glox = 42glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-42glo' to each side of the equation. -42glo + 3glox = 42glo + -42glo Combine like terms: 42glo + -42glo = 0 -42glo + 3glox = 0 Factor out the Greatest Common Factor (GCF), '3glo'. 3glo(-14 + x) = 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 '(-14 + x)' equal to zero and attempt to solve: Simplifying -14 + x = 0 Solving -14 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + x = 0 + 14 x = 0 + 14 Combine like terms: 0 + 14 = 14 x = 14 Add '-1x' to each side of the equation. x + -1x = 14 + -1x Combine like terms: x + -1x = 0 0 = 14 + -1x Simplifying 0 = 14 + -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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