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Simplifying log(10) * x = 4 + -1log(10)(4x + -2) Reorder the terms for easier multiplication: 10glo * x = 4 + -1log(10)(4x + -2) Multiply glo * x 10glox = 4 + -1log(10)(4x + -2) Reorder the terms: 10glox = 4 + -1glo * 10(-2 + 4x) Reorder the terms for easier multiplication: 10glox = 4 + -1 * 10glo(-2 + 4x) Multiply -1 * 10 10glox = 4 + -10glo(-2 + 4x) 10glox = 4 + (-2 * -10glo + 4x * -10glo) 10glox = 4 + (20glo + -40glox) Solving 10glox = 4 + 20glo + -40glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-20glo' to each side of the equation. -20glo + 10glox = 4 + 20glo + -20glo + -40glox Combine like terms: 20glo + -20glo = 0 -20glo + 10glox = 4 + 0 + -40glox -20glo + 10glox = 4 + -40glox Add '40glox' to each side of the equation. -20glo + 10glox + 40glox = 4 + -40glox + 40glox Combine like terms: 10glox + 40glox = 50glox -20glo + 50glox = 4 + -40glox + 40glox Combine like terms: -40glox + 40glox = 0 -20glo + 50glox = 4 + 0 -20glo + 50glox = 4 Reorder the terms: -4 + -20glo + 50glox = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -20glo + 50glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + -10glo + 25glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + -10glo + 25glox)' equal to zero and attempt to solve: Simplifying -2 + -10glo + 25glox = 0 Solving -2 + -10glo + 25glox = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -10glo + 2 + 25glox = 0 + 2 Reorder the terms: -2 + 2 + -10glo + 25glox = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -10glo + 25glox = 0 + 2 -10glo + 25glox = 0 + 2 Combine like terms: 0 + 2 = 2 -10glo + 25glox = 2 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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