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Simplifying 7 + log(2)(x + 5) = 9 Reorder the terms: 7 + glo * 2(5 + x) = 9 Reorder the terms for easier multiplication: 7 + 2glo(5 + x) = 9 7 + (5 * 2glo + x * 2glo) = 9 7 + (10glo + 2glox) = 9 Solving 7 + 10glo + 2glox = 9 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 10glo + -7 + 2glox = 9 + -7 Reorder the terms: 7 + -7 + 10glo + 2glox = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 10glo + 2glox = 9 + -7 10glo + 2glox = 9 + -7 Combine like terms: 9 + -7 = 2 10glo + 2glox = 2 Reorder the terms: -2 + 10glo + 2glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 10glo + 2glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1 + 5glo + glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + 5glo + glox)' equal to zero and attempt to solve: Simplifying -1 + 5glo + glox = 0 Solving -1 + 5glo + glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 5glo + 1 + glox = 0 + 1 Reorder the terms: -1 + 1 + 5glo + glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5glo + glox = 0 + 1 5glo + glox = 0 + 1 Combine like terms: 0 + 1 = 1 5glo + glox = 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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