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Simplifying log(2p + 8) = log(p + 10) Reorder the terms: glo(8 + 2p) = log(p + 10) (8 * glo + 2p * glo) = log(p + 10) (8glo + 2glop) = log(p + 10) Reorder the terms: 8glo + 2glop = glo(10 + p) 8glo + 2glop = (10 * glo + p * glo) 8glo + 2glop = (10glo + glop) Solving 8glo + 2glop = 10glo + glop Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-10glo' to each side of the equation. 8glo + -10glo + 2glop = 10glo + -10glo + glop Combine like terms: 8glo + -10glo = -2glo -2glo + 2glop = 10glo + -10glo + glop Combine like terms: 10glo + -10glo = 0 -2glo + 2glop = 0 + glop -2glo + 2glop = glop Add '-1glop' to each side of the equation. -2glo + 2glop + -1glop = glop + -1glop Combine like terms: 2glop + -1glop = 1glop -2glo + 1glop = glop + -1glop Combine like terms: glop + -1glop = 0 -2glo + 1glop = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-2 + p) = 0Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-2 + p)' equal to zero and attempt to solve: Simplifying -2 + p = 0 Solving -2 + p = 0 Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + p = 0 + 2 Combine like terms: -2 + 2 = 0 0 + p = 0 + 2 p = 0 + 2 Combine like terms: 0 + 2 = 2 p = 2 Add '-1p' to each side of the equation. p + -1p = 2 + -1p Combine like terms: p + -1p = 0 0 = 2 + -1p Simplifying 0 = 2 + -1p 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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