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Simplifying log * 2x + -1log * 4 = 14 Reorder the terms for easier multiplication: 2glo * x + -1log * 4 = 14 Multiply glo * x 2glox + -1log * 4 = 14 Reorder the terms for easier multiplication: 2glox + -1 * 4glo = 14 Multiply -1 * 4 2glox + -4glo = 14 Reorder the terms: -4glo + 2glox = 14 Solving -4glo + 2glox = 14 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -14 + -4glo + 2glox = 14 + -14 Combine like terms: 14 + -14 = 0 -14 + -4glo + 2glox = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-7 + -2glo + glox) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + -2glo + glox)' equal to zero and attempt to solve: Simplifying -7 + -2glo + glox = 0 Solving -7 + -2glo + glox = 0 Move all terms containing g to the left, all other terms to the right. Add '7' to each side of the equation. -7 + -2glo + 7 + glox = 0 + 7 Reorder the terms: -7 + 7 + -2glo + glox = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2glo + glox = 0 + 7 -2glo + glox = 0 + 7 Combine like terms: 0 + 7 = 7 -2glo + glox = 7 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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