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Simplifying log(7)(x) + log(7)(x + 2) = log(7)(x + 20) Reorder the terms for easier multiplication: 7glo * x + log(7)(x + 2) = log(7)(x + 20) Multiply glo * x 7glox + log(7)(x + 2) = log(7)(x + 20) Reorder the terms: 7glox + glo * 7(2 + x) = log(7)(x + 20) Reorder the terms for easier multiplication: 7glox + 7glo(2 + x) = log(7)(x + 20) 7glox + (2 * 7glo + x * 7glo) = log(7)(x + 20) 7glox + (14glo + 7glox) = log(7)(x + 20) Reorder the terms: 14glo + 7glox + 7glox = log(7)(x + 20) Combine like terms: 7glox + 7glox = 14glox 14glo + 14glox = log(7)(x + 20) Reorder the terms: 14glo + 14glox = glo * 7(20 + x) Reorder the terms for easier multiplication: 14glo + 14glox = 7glo(20 + x) 14glo + 14glox = (20 * 7glo + x * 7glo) 14glo + 14glox = (140glo + 7glox) Solving 14glo + 14glox = 140glo + 7glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-140glo' to each side of the equation. 14glo + -140glo + 14glox = 140glo + -140glo + 7glox Combine like terms: 14glo + -140glo = -126glo -126glo + 14glox = 140glo + -140glo + 7glox Combine like terms: 140glo + -140glo = 0 -126glo + 14glox = 0 + 7glox -126glo + 14glox = 7glox Add '-7glox' to each side of the equation. -126glo + 14glox + -7glox = 7glox + -7glox Combine like terms: 14glox + -7glox = 7glox -126glo + 7glox = 7glox + -7glox Combine like terms: 7glox + -7glox = 0 -126glo + 7glox = 0 Factor out the Greatest Common Factor (GCF), '7glo'. 7glo(-18 + x) = 0 Ignore the factor 7.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 '(-18 + x)' equal to zero and attempt to solve: Simplifying -18 + x = 0 Solving -18 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + x = 0 + 18 x = 0 + 18 Combine like terms: 0 + 18 = 18 x = 18 Add '-1x' to each side of the equation. x + -1x = 18 + -1x Combine like terms: x + -1x = 0 0 = 18 + -1x Simplifying 0 = 18 + -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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