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Simplifying Log(5v + 2) = log(2v + 8) Reorder the terms: goL(2 + 5v) = log(2v + 8) (2 * goL + 5v * goL) = log(2v + 8) (2goL + 5govL) = log(2v + 8) Reorder the terms: 2goL + 5govL = glo(8 + 2v) 2goL + 5govL = (8 * glo + 2v * glo) 2goL + 5govL = (8glo + 2glov) Solving 2goL + 5govL = 8glo + 2glov Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-8glo' to each side of the equation. 2goL + -8glo + 5govL = 8glo + -8glo + 2glov Reorder the terms: -8glo + 2goL + 5govL = 8glo + -8glo + 2glov Combine like terms: 8glo + -8glo = 0 -8glo + 2goL + 5govL = 0 + 2glov -8glo + 2goL + 5govL = 2glov Add '-2glov' to each side of the equation. -8glo + 2goL + -2glov + 5govL = 2glov + -2glov Reorder the terms: -8glo + -2glov + 2goL + 5govL = 2glov + -2glov Combine like terms: 2glov + -2glov = 0 -8glo + -2glov + 2goL + 5govL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-8l + -2lv + 2L + 5vL) = 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 '(-8l + -2lv + 2L + 5vL)' equal to zero and attempt to solve: Simplifying -8l + -2lv + 2L + 5vL = 0 Reorder the terms: 2L + -8l + -2lv + 5vL = 0 Solving 2L + -8l + -2lv + 5vL = 0 Move all terms containing g to the left, all other terms to the right. Add '-2L' to each side of the equation. 2L + -8l + -2lv + -2L + 5vL = 0 + -2L Reorder the terms: 2L + -2L + -8l + -2lv + 5vL = 0 + -2L Combine like terms: 2L + -2L = 0 0 + -8l + -2lv + 5vL = 0 + -2L -8l + -2lv + 5vL = 0 + -2L Remove the zero: -8l + -2lv + 5vL = -2L Add '8l' to each side of the equation. -8l + -2lv + 8l + 5vL = -2L + 8l Reorder the terms: -8l + 8l + -2lv + 5vL = -2L + 8l Combine like terms: -8l + 8l = 0 0 + -2lv + 5vL = -2L + 8l -2lv + 5vL = -2L + 8l Add '2lv' to each side of the equation. -2lv + 2lv + 5vL = -2L + 8l + 2lv Combine like terms: -2lv + 2lv = 0 0 + 5vL = -2L + 8l + 2lv 5vL = -2L + 8l + 2lv Add '-5vL' to each side of the equation. 5vL + -5vL = -2L + 8l + 2lv + -5vL Combine like terms: 5vL + -5vL = 0 0 = -2L + 8l + 2lv + -5vL Simplifying 0 = -2L + 8l + 2lv + -5vL 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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