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Simplifying log(9)(x + 5) + log(9)(7) = log(9)(60) Reorder the terms: glo * 9(5 + x) + log(9)(7) = log(9)(60) Reorder the terms for easier multiplication: 9glo(5 + x) + log(9)(7) = log(9)(60) (5 * 9glo + x * 9glo) + log(9)(7) = log(9)(60) (45glo + 9glox) + log(9)(7) = log(9)(60) Reorder the terms for easier multiplication: 45glo + 9glox + 9 * 7glo = log(9)(60) Multiply 9 * 7 45glo + 9glox + 63glo = log(9)(60) Reorder the terms: 45glo + 63glo + 9glox = log(9)(60) Combine like terms: 45glo + 63glo = 108glo 108glo + 9glox = log(9)(60) Reorder the terms for easier multiplication: 108glo + 9glox = 9 * 60glo Multiply 9 * 60 108glo + 9glox = 540glo Solving 108glo + 9glox = 540glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-540glo' to each side of the equation. 108glo + -540glo + 9glox = 540glo + -540glo Combine like terms: 108glo + -540glo = -432glo -432glo + 9glox = 540glo + -540glo Combine like terms: 540glo + -540glo = 0 -432glo + 9glox = 0 Factor out the Greatest Common Factor (GCF), '9glo'. 9glo(-48 + x) = 0 Ignore the factor 9.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 '(-48 + x)' equal to zero and attempt to solve: Simplifying -48 + x = 0 Solving -48 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + x = 0 + 48 Combine like terms: -48 + 48 = 0 0 + x = 0 + 48 x = 0 + 48 Combine like terms: 0 + 48 = 48 x = 48 Add '-1x' to each side of the equation. x + -1x = 48 + -1x Combine like terms: x + -1x = 0 0 = 48 + -1x Simplifying 0 = 48 + -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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