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Simplifying log[4](x + 8) + -1log[4](2) = log[4](55) Reorder the terms: glo * 4(8 + x) + -1log[4](2) = log[4](55) Reorder the terms for easier multiplication: 4glo(8 + x) + -1log[4](2) = log[4](55) (8 * 4glo + x * 4glo) + -1log[4](2) = log[4](55) (32glo + 4glox) + -1log[4](2) = log[4](55) Reorder the terms for easier multiplication: 32glo + 4glox + -1 * 4 * 2glo = log[4](55) Multiply -1 * 4 32glo + 4glox + -4 * 2glo = log[4](55) Multiply -4 * 2 32glo + 4glox + -8glo = log[4](55) Reorder the terms: 32glo + -8glo + 4glox = log[4](55) Combine like terms: 32glo + -8glo = 24glo 24glo + 4glox = log[4](55) Reorder the terms for easier multiplication: 24glo + 4glox = 4 * 55glo Multiply 4 * 55 24glo + 4glox = 220glo Solving 24glo + 4glox = 220glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-220glo' to each side of the equation. 24glo + -220glo + 4glox = 220glo + -220glo Combine like terms: 24glo + -220glo = -196glo -196glo + 4glox = 220glo + -220glo Combine like terms: 220glo + -220glo = 0 -196glo + 4glox = 0 Factor out the Greatest Common Factor (GCF), '4glo'. 4glo(-49 + x) = 0 Ignore the factor 4.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 '(-49 + x)' equal to zero and attempt to solve: Simplifying -49 + x = 0 Solving -49 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + x = 0 + 49 Combine like terms: -49 + 49 = 0 0 + x = 0 + 49 x = 0 + 49 Combine like terms: 0 + 49 = 49 x = 49 Add '-1x' to each side of the equation. x + -1x = 49 + -1x Combine like terms: x + -1x = 0 0 = 49 + -1x Simplifying 0 = 49 + -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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