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Simplifying log(3) * 3 + log(3) * X = log(3) * 45 Reorder the terms for easier multiplication: 3 * 3glo + log(3) * X = log(3) * 45 Multiply 3 * 3 9glo + log(3) * X = log(3) * 45 Reorder the terms for easier multiplication: 9glo + 3glo * X = log(3) * 45 Multiply glo * X 9glo + 3gloX = log(3) * 45 Reorder the terms for easier multiplication: 9glo + 3gloX = 3 * 45glo Multiply 3 * 45 9glo + 3gloX = 135glo Solving 9glo + 3gloX = 135glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-135glo' to each side of the equation. 9glo + -135glo + 3gloX = 135glo + -135glo Combine like terms: 9glo + -135glo = -126glo -126glo + 3gloX = 135glo + -135glo Combine like terms: 135glo + -135glo = 0 -126glo + 3gloX = 0 Factor out the Greatest Common Factor (GCF), '3glo'. 3glo(-42 + 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 '(-42 + X)' equal to zero and attempt to solve: Simplifying -42 + X = 0 Solving -42 + X = 0 Move all terms containing g to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + X = 0 + 42 Combine like terms: -42 + 42 = 0 0 + X = 0 + 42 X = 0 + 42 Combine like terms: 0 + 42 = 42 X = 42 Add '-1X' to each side of the equation. X + -1X = 42 + -1X Combine like terms: X + -1X = 0 0 = 42 + -1X Simplifying 0 = 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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