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Simplifying log(4x) + log(5x) = log(720) Remove parenthesis around (4x) glo * 4x + log(5x) = log(720) Reorder the terms for easier multiplication: 4glo * x + log(5x) = log(720) Multiply glo * x 4glox + log(5x) = log(720) Remove parenthesis around (5x) 4glox + glo * 5x = log(720) Reorder the terms for easier multiplication: 4glox + 5glo * x = log(720) Multiply glo * x 4glox + 5glox = log(720) Combine like terms: 4glox + 5glox = 9glox 9glox = log(720) Reorder the terms for easier multiplication: 9glox = 720glo Solving 9glox = 720glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-720glo' to each side of the equation. -720glo + 9glox = 720glo + -720glo Combine like terms: 720glo + -720glo = 0 -720glo + 9glox = 0 Factor out the Greatest Common Factor (GCF), '9glo'. 9glo(-80 + 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 '(-80 + x)' equal to zero and attempt to solve: Simplifying -80 + x = 0 Solving -80 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '80' to each side of the equation. -80 + 80 + x = 0 + 80 Combine like terms: -80 + 80 = 0 0 + x = 0 + 80 x = 0 + 80 Combine like terms: 0 + 80 = 80 x = 80 Add '-1x' to each side of the equation. x + -1x = 80 + -1x Combine like terms: x + -1x = 0 0 = 80 + -1x Simplifying 0 = 80 + -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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