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Simplifying log[7] * x = log[7] * 4 + log[7] * 6 + -1log[7] * 3 Reorder the terms for easier multiplication: 7glo * x = log[7] * 4 + log[7] * 6 + -1log[7] * 3 Multiply glo * x 7glox = log[7] * 4 + log[7] * 6 + -1log[7] * 3 Reorder the terms for easier multiplication: 7glox = 7 * 4glo + log[7] * 6 + -1log[7] * 3 Multiply 7 * 4 7glox = 28glo + log[7] * 6 + -1log[7] * 3 Reorder the terms for easier multiplication: 7glox = 28glo + 7 * 6glo + -1log[7] * 3 Multiply 7 * 6 7glox = 28glo + 42glo + -1log[7] * 3 Reorder the terms for easier multiplication: 7glox = 28glo + 42glo + -1 * 7 * 3glo Multiply -1 * 7 7glox = 28glo + 42glo + -7 * 3glo Multiply -7 * 3 7glox = 28glo + 42glo + -21glo Combine like terms: 28glo + 42glo = 70glo 7glox = 70glo + -21glo Combine like terms: 70glo + -21glo = 49glo 7glox = 49glo Solving 7glox = 49glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-49glo' to each side of the equation. -49glo + 7glox = 49glo + -49glo Combine like terms: 49glo + -49glo = 0 -49glo + 7glox = 0 Factor out the Greatest Common Factor (GCF), '7glo'. 7glo(-7 + x) = 0 Ignore the factor 7.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 '(-7 + x)' equal to zero and attempt to solve: Simplifying -7 + x = 0 Solving -7 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x = 0 + 7 x = 0 + 7 Combine like terms: 0 + 7 = 7 x = 7 Add '-1x' to each side of the equation. x + -1x = 7 + -1x Combine like terms: x + -1x = 0 0 = 7 + -1x Simplifying 0 = 7 + -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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