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Simplifying Log(4p + -2) = log(-3p + 5) Reorder the terms: goL(-2 + 4p) = log(-3p + 5) (-2 * goL + 4p * goL) = log(-3p + 5) (-2goL + 4gopL) = log(-3p + 5) Reorder the terms: -2goL + 4gopL = glo(5 + -3p) -2goL + 4gopL = (5 * glo + -3p * glo) -2goL + 4gopL = (5glo + -3glop) Solving -2goL + 4gopL = 5glo + -3glop Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5glo' to each side of the equation. -2goL + -5glo + 4gopL = 5glo + -5glo + -3glop Reorder the terms: -5glo + -2goL + 4gopL = 5glo + -5glo + -3glop Combine like terms: 5glo + -5glo = 0 -5glo + -2goL + 4gopL = 0 + -3glop -5glo + -2goL + 4gopL = -3glop Add '3glop' to each side of the equation. -5glo + -2goL + 3glop + 4gopL = -3glop + 3glop Reorder the terms: -5glo + 3glop + -2goL + 4gopL = -3glop + 3glop Combine like terms: -3glop + 3glop = 0 -5glo + 3glop + -2goL + 4gopL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-5l + 3lp + -2L + 4pL) = 0Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(-5l + 3lp + -2L + 4pL)' equal to zero and attempt to solve: Simplifying -5l + 3lp + -2L + 4pL = 0 Reorder the terms: -2L + -5l + 3lp + 4pL = 0 Solving -2L + -5l + 3lp + 4pL = 0 Move all terms containing g to the left, all other terms to the right. Add '2L' to each side of the equation. -2L + -5l + 3lp + 2L + 4pL = 0 + 2L Reorder the terms: -2L + 2L + -5l + 3lp + 4pL = 0 + 2L Combine like terms: -2L + 2L = 0 0 + -5l + 3lp + 4pL = 0 + 2L -5l + 3lp + 4pL = 0 + 2L Remove the zero: -5l + 3lp + 4pL = 2L Add '5l' to each side of the equation. -5l + 3lp + 5l + 4pL = 2L + 5l Reorder the terms: -5l + 5l + 3lp + 4pL = 2L + 5l Combine like terms: -5l + 5l = 0 0 + 3lp + 4pL = 2L + 5l 3lp + 4pL = 2L + 5l Add '-3lp' to each side of the equation. 3lp + -3lp + 4pL = 2L + 5l + -3lp Combine like terms: 3lp + -3lp = 0 0 + 4pL = 2L + 5l + -3lp 4pL = 2L + 5l + -3lp Add '-4pL' to each side of the equation. 4pL + -4pL = 2L + 5l + -3lp + -4pL Combine like terms: 4pL + -4pL = 0 0 = 2L + 5l + -3lp + -4pL Simplifying 0 = 2L + 5l + -3lp + -4pL 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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