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Simplifying log(5)(2) + log(5)(x + -3) = log(5)(18) Reorder the terms for easier multiplication: 5 * 2glo + log(5)(x + -3) = log(5)(18) Multiply 5 * 2 10glo + log(5)(x + -3) = log(5)(18) Reorder the terms: 10glo + glo * 5(-3 + x) = log(5)(18) Reorder the terms for easier multiplication: 10glo + 5glo(-3 + x) = log(5)(18) 10glo + (-3 * 5glo + x * 5glo) = log(5)(18) 10glo + (-15glo + 5glox) = log(5)(18) Combine like terms: 10glo + -15glo = -5glo -5glo + 5glox = log(5)(18) Reorder the terms for easier multiplication: -5glo + 5glox = 5 * 18glo Multiply 5 * 18 -5glo + 5glox = 90glo Solving -5glo + 5glox = 90glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-90glo' to each side of the equation. -5glo + -90glo + 5glox = 90glo + -90glo Combine like terms: -5glo + -90glo = -95glo -95glo + 5glox = 90glo + -90glo Combine like terms: 90glo + -90glo = 0 -95glo + 5glox = 0 Factor out the Greatest Common Factor (GCF), '5glo'. 5glo(-19 + x) = 0 Ignore the factor 5.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 '(-19 + x)' equal to zero and attempt to solve: Simplifying -19 + x = 0 Solving -19 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + x = 0 + 19 Combine like terms: -19 + 19 = 0 0 + x = 0 + 19 x = 0 + 19 Combine like terms: 0 + 19 = 19 x = 19 Add '-1x' to each side of the equation. x + -1x = 19 + -1x Combine like terms: x + -1x = 0 0 = 19 + -1x Simplifying 0 = 19 + -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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