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Simplifying log(9) * 10 + -1log(9)(4 + -4x) = 2 Reorder the terms for easier multiplication: 9 * 10glo + -1log(9)(4 + -4x) = 2 Multiply 9 * 10 90glo + -1log(9)(4 + -4x) = 2 Reorder the terms for easier multiplication: 90glo + -1 * 9glo(4 + -4x) = 2 Multiply -1 * 9 90glo + -9glo(4 + -4x) = 2 90glo + (4 * -9glo + -4x * -9glo) = 2 90glo + (-36glo + 36glox) = 2 Combine like terms: 90glo + -36glo = 54glo 54glo + 36glox = 2 Solving 54glo + 36glox = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -2 + 54glo + 36glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 54glo + 36glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 27glo + 18glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 27glo + 18glox)' equal to zero and attempt to solve: Simplifying -1 + 27glo + 18glox = 0 Solving -1 + 27glo + 18glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 27glo + 1 + 18glox = 0 + 1 Reorder the terms: -1 + 1 + 27glo + 18glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 27glo + 18glox = 0 + 1 27glo + 18glox = 0 + 1 Combine like terms: 0 + 1 = 1 27glo + 18glox = 1 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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