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Simplifying log(8)(x + -6) + -1log(8)(5) = log(8)(6) Reorder the terms: glo * 8(-6 + x) + -1log(8)(5) = log(8)(6) Reorder the terms for easier multiplication: 8glo(-6 + x) + -1log(8)(5) = log(8)(6) (-6 * 8glo + x * 8glo) + -1log(8)(5) = log(8)(6) (-48glo + 8glox) + -1log(8)(5) = log(8)(6) Reorder the terms for easier multiplication: -48glo + 8glox + -1 * 8 * 5glo = log(8)(6) Multiply -1 * 8 -48glo + 8glox + -8 * 5glo = log(8)(6) Multiply -8 * 5 -48glo + 8glox + -40glo = log(8)(6) Reorder the terms: -48glo + -40glo + 8glox = log(8)(6) Combine like terms: -48glo + -40glo = -88glo -88glo + 8glox = log(8)(6) Reorder the terms for easier multiplication: -88glo + 8glox = 8 * 6glo Multiply 8 * 6 -88glo + 8glox = 48glo Solving -88glo + 8glox = 48glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-48glo' to each side of the equation. -88glo + -48glo + 8glox = 48glo + -48glo Combine like terms: -88glo + -48glo = -136glo -136glo + 8glox = 48glo + -48glo Combine like terms: 48glo + -48glo = 0 -136glo + 8glox = 0 Factor out the Greatest Common Factor (GCF), '8glo'. 8glo(-17 + x) = 0 Ignore the factor 8.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 '(-17 + x)' equal to zero and attempt to solve: Simplifying -17 + x = 0 Solving -17 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + x = 0 + 17 Combine like terms: -17 + 17 = 0 0 + x = 0 + 17 x = 0 + 17 Combine like terms: 0 + 17 = 17 x = 17 Add '-1x' to each side of the equation. x + -1x = 17 + -1x Combine like terms: x + -1x = 0 0 = 17 + -1x Simplifying 0 = 17 + -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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