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Simplifying log(10)(x) = log(10)(2x + -4) Reorder the terms for easier multiplication: 10glo * x = log(10)(2x + -4) Multiply glo * x 10glox = log(10)(2x + -4) Reorder the terms: 10glox = glo * 10(-4 + 2x) Reorder the terms for easier multiplication: 10glox = 10glo(-4 + 2x) 10glox = (-4 * 10glo + 2x * 10glo) 10glox = (-40glo + 20glox) Solving 10glox = -40glo + 20glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '40glo' to each side of the equation. 40glo + 10glox = -40glo + 40glo + 20glox Combine like terms: -40glo + 40glo = 0 40glo + 10glox = 0 + 20glox 40glo + 10glox = 20glox Add '-20glox' to each side of the equation. 40glo + 10glox + -20glox = 20glox + -20glox Combine like terms: 10glox + -20glox = -10glox 40glo + -10glox = 20glox + -20glox Combine like terms: 20glox + -20glox = 0 40glo + -10glox = 0 Factor out the Greatest Common Factor (GCF), '10glo'. 10glo(4 + -1x) = 0 Ignore the factor 10.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 '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Add 'x' to each side of the equation. -1x + x = -4 + x Combine like terms: -1x + x = 0 0 = -4 + x Simplifying 0 = -4 + x 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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