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Simplifying 2log(x) + -1log(7) = log(63) Multiply glo * x 2glox + -1log(7) = log(63) Reorder the terms for easier multiplication: 2glox + -1 * 7glo = log(63) Multiply -1 * 7 2glox + -7glo = log(63) Reorder the terms: -7glo + 2glox = log(63) Reorder the terms for easier multiplication: -7glo + 2glox = 63glo Solving -7glo + 2glox = 63glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-63glo' to each side of the equation. -7glo + -63glo + 2glox = 63glo + -63glo Combine like terms: -7glo + -63glo = -70glo -70glo + 2glox = 63glo + -63glo Combine like terms: 63glo + -63glo = 0 -70glo + 2glox = 0 Factor out the Greatest Common Factor (GCF), '2glo'. 2glo(-35 + x) = 0 Ignore the factor 2.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 '(-35 + x)' equal to zero and attempt to solve: Simplifying -35 + x = 0 Solving -35 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + x = 0 + 35 x = 0 + 35 Combine like terms: 0 + 35 = 35 x = 35 Add '-1x' to each side of the equation. x + -1x = 35 + -1x Combine like terms: x + -1x = 0 0 = 35 + -1x Simplifying 0 = 35 + -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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