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Simplifying log(5)(x + 2) + -1log(5)(7) = log(5)(49) Reorder the terms: glo * 5(2 + x) + -1log(5)(7) = log(5)(49) Reorder the terms for easier multiplication: 5glo(2 + x) + -1log(5)(7) = log(5)(49) (2 * 5glo + x * 5glo) + -1log(5)(7) = log(5)(49) (10glo + 5glox) + -1log(5)(7) = log(5)(49) Reorder the terms for easier multiplication: 10glo + 5glox + -1 * 5 * 7glo = log(5)(49) Multiply -1 * 5 10glo + 5glox + -5 * 7glo = log(5)(49) Multiply -5 * 7 10glo + 5glox + -35glo = log(5)(49) Reorder the terms: 10glo + -35glo + 5glox = log(5)(49) Combine like terms: 10glo + -35glo = -25glo -25glo + 5glox = log(5)(49) Reorder the terms for easier multiplication: -25glo + 5glox = 5 * 49glo Multiply 5 * 49 -25glo + 5glox = 245glo Solving -25glo + 5glox = 245glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-245glo' to each side of the equation. -25glo + -245glo + 5glox = 245glo + -245glo Combine like terms: -25glo + -245glo = -270glo -270glo + 5glox = 245glo + -245glo Combine like terms: 245glo + -245glo = 0 -270glo + 5glox = 0 Factor out the Greatest Common Factor (GCF), '5glo'. 5glo(-54 + 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 '(-54 + x)' equal to zero and attempt to solve: Simplifying -54 + x = 0 Solving -54 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 54 + x = 0 + 54 Combine like terms: -54 + 54 = 0 0 + x = 0 + 54 x = 0 + 54 Combine like terms: 0 + 54 = 54 x = 54 Add '-1x' to each side of the equation. x + -1x = 54 + -1x Combine like terms: x + -1x = 0 0 = 54 + -1x Simplifying 0 = 54 + -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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