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Simplifying log(91) = log(21x) Reorder the terms for easier multiplication: 91glo = log(21x) Remove parenthesis around (21x) 91glo = glo * 21x Reorder the terms for easier multiplication: 91glo = 21glo * x Multiply glo * x 91glo = 21glox Solving 91glo = 21glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-21glox' to each side of the equation. 91glo + -21glox = 21glox + -21glox Combine like terms: 21glox + -21glox = 0 91glo + -21glox = 0 Factor out the Greatest Common Factor (GCF), '7glo'. 7glo(13 + -3x) = 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 '(13 + -3x)' equal to zero and attempt to solve: Simplifying 13 + -3x = 0 Solving 13 + -3x = 0 Move all terms containing g to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -3x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -3x = 0 + -13 -3x = 0 + -13 Combine like terms: 0 + -13 = -13 -3x = -13 Add '3x' to each side of the equation. -3x + 3x = -13 + 3x Combine like terms: -3x + 3x = 0 0 = -13 + 3x Simplifying 0 = -13 + 3x 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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