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Simplifying log(7)(x + -2) + log(7)(x + 4) = 2log(7)(4) Reorder the terms: glo * 7(-2 + x) + log(7)(x + 4) = 2log(7)(4) Reorder the terms for easier multiplication: 7glo(-2 + x) + log(7)(x + 4) = 2log(7)(4) (-2 * 7glo + x * 7glo) + log(7)(x + 4) = 2log(7)(4) (-14glo + 7glox) + log(7)(x + 4) = 2log(7)(4) Reorder the terms: -14glo + 7glox + glo * 7(4 + x) = 2log(7)(4) Reorder the terms for easier multiplication: -14glo + 7glox + 7glo(4 + x) = 2log(7)(4) -14glo + 7glox + (4 * 7glo + x * 7glo) = 2log(7)(4) -14glo + 7glox + (28glo + 7glox) = 2log(7)(4) Reorder the terms: -14glo + 28glo + 7glox + 7glox = 2log(7)(4) Combine like terms: -14glo + 28glo = 14glo 14glo + 7glox + 7glox = 2log(7)(4) Combine like terms: 7glox + 7glox = 14glox 14glo + 14glox = 2log(7)(4) Reorder the terms for easier multiplication: 14glo + 14glox = 2 * 7 * 4glo Multiply 2 * 7 14glo + 14glox = 14 * 4glo Multiply 14 * 4 14glo + 14glox = 56glo Solving 14glo + 14glox = 56glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-56glo' to each side of the equation. 14glo + -56glo + 14glox = 56glo + -56glo Combine like terms: 14glo + -56glo = -42glo -42glo + 14glox = 56glo + -56glo Combine like terms: 56glo + -56glo = 0 -42glo + 14glox = 0 Factor out the Greatest Common Factor (GCF), '14glo'. 14glo(-3 + x) = 0 Ignore the factor 14.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 '(-3 + x)' equal to zero and attempt to solve: Simplifying -3 + x = 0 Solving -3 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + x = 0 + 3 x = 0 + 3 Combine like terms: 0 + 3 = 3 x = 3 Add '-1x' to each side of the equation. x + -1x = 3 + -1x Combine like terms: x + -1x = 0 0 = 3 + -1x Simplifying 0 = 3 + -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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