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Simplifying 2log(w) + -1log(3w + 7) = 1 Multiply glo * w 2glow + -1log(3w + 7) = 1 Reorder the terms: 2glow + -1glo(7 + 3w) = 1 2glow + (7 * -1glo + 3w * -1glo) = 1 2glow + (-7glo + -3glow) = 1 Reorder the terms: -7glo + 2glow + -3glow = 1 Combine like terms: 2glow + -3glow = -1glow -7glo + -1glow = 1 Solving -7glo + -1glow = 1 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -1 + -7glo + -1glow = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + -7glo + -1glow = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(1 + 7glo + glow) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(1 + 7glo + glow)' equal to zero and attempt to solve: Simplifying 1 + 7glo + glow = 0 Solving 1 + 7glo + glow = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 7glo + -1 + glow = 0 + -1 Reorder the terms: 1 + -1 + 7glo + glow = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7glo + glow = 0 + -1 7glo + glow = 0 + -1 Combine like terms: 0 + -1 = -1 7glo + glow = -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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