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Simplifying Log(7)(3x + -5) + -1log(7)(x + -5) = log(7) * 8 Reorder the terms: goL * 7(-5 + 3x) + -1log(7)(x + -5) = log(7) * 8 Reorder the terms for easier multiplication: 7goL(-5 + 3x) + -1log(7)(x + -5) = log(7) * 8 (-5 * 7goL + 3x * 7goL) + -1log(7)(x + -5) = log(7) * 8 (-35goL + 21goxL) + -1log(7)(x + -5) = log(7) * 8 Reorder the terms: -35goL + 21goxL + -1glo * 7(-5 + x) = log(7) * 8 Reorder the terms for easier multiplication: -35goL + 21goxL + -1 * 7glo(-5 + x) = log(7) * 8 Multiply -1 * 7 -35goL + 21goxL + -7glo(-5 + x) = log(7) * 8 -35goL + 21goxL + (-5 * -7glo + x * -7glo) = log(7) * 8 -35goL + 21goxL + (35glo + -7glox) = log(7) * 8 Reorder the terms: 35glo + -7glox + -35goL + 21goxL = log(7) * 8 Reorder the terms for easier multiplication: 35glo + -7glox + -35goL + 21goxL = 7 * 8glo Multiply 7 * 8 35glo + -7glox + -35goL + 21goxL = 56glo Solving 35glo + -7glox + -35goL + 21goxL = 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. 35glo + -7glox + -35goL + -56glo + 21goxL = 56glo + -56glo Reorder the terms: 35glo + -56glo + -7glox + -35goL + 21goxL = 56glo + -56glo Combine like terms: 35glo + -56glo = -21glo -21glo + -7glox + -35goL + 21goxL = 56glo + -56glo Combine like terms: 56glo + -56glo = 0 -21glo + -7glox + -35goL + 21goxL = 0 Factor out the Greatest Common Factor (GCF), '7go'. 7go(-3l + -1lx + -5L + 3xL) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(-3l + -1lx + -5L + 3xL)' equal to zero and attempt to solve: Simplifying -3l + -1lx + -5L + 3xL = 0 Reorder the terms: -5L + -3l + -1lx + 3xL = 0 Solving -5L + -3l + -1lx + 3xL = 0 Move all terms containing g to the left, all other terms to the right. Add '5L' to each side of the equation. -5L + -3l + -1lx + 5L + 3xL = 0 + 5L Reorder the terms: -5L + 5L + -3l + -1lx + 3xL = 0 + 5L Combine like terms: -5L + 5L = 0 0 + -3l + -1lx + 3xL = 0 + 5L -3l + -1lx + 3xL = 0 + 5L Remove the zero: -3l + -1lx + 3xL = 5L Add '3l' to each side of the equation. -3l + -1lx + 3l + 3xL = 5L + 3l Reorder the terms: -3l + 3l + -1lx + 3xL = 5L + 3l Combine like terms: -3l + 3l = 0 0 + -1lx + 3xL = 5L + 3l -1lx + 3xL = 5L + 3l Add 'lx' to each side of the equation. -1lx + lx + 3xL = 5L + 3l + lx Combine like terms: -1lx + lx = 0 0 + 3xL = 5L + 3l + lx 3xL = 5L + 3l + lx Add '-3xL' to each side of the equation. 3xL + -3xL = 5L + 3l + lx + -3xL Combine like terms: 3xL + -3xL = 0 0 = 5L + 3l + lx + -3xL Simplifying 0 = 5L + 3l + lx + -3xL 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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