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Simplifying 2log(7) * 5 + log(7) * x = log(7) * 100 Reorder the terms for easier multiplication: 2 * 7 * 5glo + log(7) * x = log(7) * 100 Multiply 2 * 7 14 * 5glo + log(7) * x = log(7) * 100 Multiply 14 * 5 70glo + log(7) * x = log(7) * 100 Reorder the terms for easier multiplication: 70glo + 7glo * x = log(7) * 100 Multiply glo * x 70glo + 7glox = log(7) * 100 Reorder the terms for easier multiplication: 70glo + 7glox = 7 * 100glo Multiply 7 * 100 70glo + 7glox = 700glo Solving 70glo + 7glox = 700glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-700glo' to each side of the equation. 70glo + -700glo + 7glox = 700glo + -700glo Combine like terms: 70glo + -700glo = -630glo -630glo + 7glox = 700glo + -700glo Combine like terms: 700glo + -700glo = 0 -630glo + 7glox = 0 Factor out the Greatest Common Factor (GCF), '7glo'. 7glo(-90 + 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 '(-90 + x)' equal to zero and attempt to solve: Simplifying -90 + x = 0 Solving -90 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + x = 0 + 90 Combine like terms: -90 + 90 = 0 0 + x = 0 + 90 x = 0 + 90 Combine like terms: 0 + 90 = 90 x = 90 Add '-1x' to each side of the equation. x + -1x = 90 + -1x Combine like terms: x + -1x = 0 0 = 90 + -1x Simplifying 0 = 90 + -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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