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Simplifying log[12](2x + 8) + log[12](70x + 4) = 3 Reorder the terms: glo * 12(8 + 2x) + log[12](70x + 4) = 3 Reorder the terms for easier multiplication: 12glo(8 + 2x) + log[12](70x + 4) = 3 (8 * 12glo + 2x * 12glo) + log[12](70x + 4) = 3 (96glo + 24glox) + log[12](70x + 4) = 3 Reorder the terms: 96glo + 24glox + glo * 12(4 + 70x) = 3 Reorder the terms for easier multiplication: 96glo + 24glox + 12glo(4 + 70x) = 3 96glo + 24glox + (4 * 12glo + 70x * 12glo) = 3 96glo + 24glox + (48glo + 840glox) = 3 Reorder the terms: 96glo + 48glo + 24glox + 840glox = 3 Combine like terms: 96glo + 48glo = 144glo 144glo + 24glox + 840glox = 3 Combine like terms: 24glox + 840glox = 864glox 144glo + 864glox = 3 Solving 144glo + 864glox = 3 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -3 + 144glo + 864glox = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 144glo + 864glox = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1 + 48glo + 288glox) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + 48glo + 288glox)' equal to zero and attempt to solve: Simplifying -1 + 48glo + 288glox = 0 Solving -1 + 48glo + 288glox = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 48glo + 1 + 288glox = 0 + 1 Reorder the terms: -1 + 1 + 48glo + 288glox = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 48glo + 288glox = 0 + 1 48glo + 288glox = 0 + 1 Combine like terms: 0 + 1 = 1 48glo + 288glox = 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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