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Simplifying log[5] * 24 = log[5](x + 2) Reorder the terms for easier multiplication: 5 * 24glo = log[5](x + 2) Multiply 5 * 24 120glo = log[5](x + 2) Reorder the terms: 120glo = glo * 5(2 + x) Reorder the terms for easier multiplication: 120glo = 5glo(2 + x) 120glo = (2 * 5glo + x * 5glo) 120glo = (10glo + 5glox) Solving 120glo = 10glo + 5glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-10glo' to each side of the equation. 120glo + -10glo = 10glo + -10glo + 5glox Combine like terms: 120glo + -10glo = 110glo 110glo = 10glo + -10glo + 5glox Combine like terms: 10glo + -10glo = 0 110glo = 0 + 5glox 110glo = 5glox Add '-5glox' to each side of the equation. 110glo + -5glox = 5glox + -5glox Combine like terms: 5glox + -5glox = 0 110glo + -5glox = 0 Factor out the Greatest Common Factor (GCF), '5glo'. 5glo(22 + -1x) = 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 '(22 + -1x)' equal to zero and attempt to solve: Simplifying 22 + -1x = 0 Solving 22 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -1x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -1x = 0 + -22 -1x = 0 + -22 Combine like terms: 0 + -22 = -22 -1x = -22 Add 'x' to each side of the equation. -1x + x = -22 + x Combine like terms: -1x + x = 0 0 = -22 + x Simplifying 0 = -22 + x 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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