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Simplifying log[3] * 56 + -1log[3] * n = log[3] * 7 Reorder the terms for easier multiplication: 3 * 56glo + -1log[3] * n = log[3] * 7 Multiply 3 * 56 168glo + -1log[3] * n = log[3] * 7 Reorder the terms for easier multiplication: 168glo + -1 * 3glo * n = log[3] * 7 Multiply -1 * 3 168glo + -3glo * n = log[3] * 7 Multiply glo * n 168glo + -3glno = log[3] * 7 Reorder the terms: -3glno + 168glo = log[3] * 7 Reorder the terms for easier multiplication: -3glno + 168glo = 3 * 7glo Multiply 3 * 7 -3glno + 168glo = 21glo Solving -3glno + 168glo = 21glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-21glo' to each side of the equation. -3glno + 168glo + -21glo = 21glo + -21glo Combine like terms: 168glo + -21glo = 147glo -3glno + 147glo = 21glo + -21glo Combine like terms: 21glo + -21glo = 0 -3glno + 147glo = 0 Factor out the Greatest Common Factor (GCF), '3glo'. 3glo(-1n + 49) = 0 Ignore the factor 3.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 '(-1n + 49)' equal to zero and attempt to solve: Simplifying -1n + 49 = 0 Reorder the terms: 49 + -1n = 0 Solving 49 + -1n = 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 + -1n = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -1n = 0 + -49 -1n = 0 + -49 Combine like terms: 0 + -49 = -49 -1n = -49 Add 'n' to each side of the equation. -1n + n = -49 + n Combine like terms: -1n + n = 0 0 = -49 + n Simplifying 0 = -49 + n 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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