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Simplifying Log(-2b + -6) = log(6 + -1b) Reorder the terms: goL(-6 + -2b) = log(6 + -1b) (-6 * goL + -2b * goL) = log(6 + -1b) Reorder the terms: (-2bgoL + -6goL) = log(6 + -1b) (-2bgoL + -6goL) = log(6 + -1b) -2bgoL + -6goL = (6 * glo + -1b * glo) Reorder the terms: -2bgoL + -6goL = (-1bglo + 6glo) -2bgoL + -6goL = (-1bglo + 6glo) Solving -2bgoL + -6goL = -1bglo + 6glo Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'bglo' to each side of the equation. -2bgoL + bglo + -6goL = -1bglo + bglo + 6glo Reorder the terms: bglo + -2bgoL + -6goL = -1bglo + bglo + 6glo Combine like terms: -1bglo + bglo = 0 bglo + -2bgoL + -6goL = 0 + 6glo bglo + -2bgoL + -6goL = 6glo Add '6goL' to each side of the equation. bglo + -2bgoL + -6goL + 6goL = 6glo + 6goL Combine like terms: -6goL + 6goL = 0 bglo + -2bgoL + 0 = 6glo + 6goL bglo + -2bgoL = 6glo + 6goL Reorder the terms: bglo + -2bgoL + -6glo + -6goL = 6glo + -6glo + 6goL + -6goL Combine like terms: 6glo + -6glo = 0 bglo + -2bgoL + -6glo + -6goL = 0 + 6goL + -6goL bglo + -2bgoL + -6glo + -6goL = 6goL + -6goL Combine like terms: 6goL + -6goL = 0 bglo + -2bgoL + -6glo + -6goL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(bl + -2bL + -6l + -6L) = 0Subproblem 1
Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing b to the left, all other terms to the right. Add '-1go' to each side of the equation. go + -1go = 0 + -1go Remove the zero: 0 = -1go Simplifying 0 = -1go 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 '(bl + -2bL + -6l + -6L)' equal to zero and attempt to solve: Simplifying bl + -2bL + -6l + -6L = 0 Reorder the terms: -6L + -2bL + bl + -6l = 0 Solving -6L + -2bL + bl + -6l = 0 Move all terms containing b to the left, all other terms to the right. Add '6L' to each side of the equation. -6L + -2bL + bl + 6L + -6l = 0 + 6L Reorder the terms: -6L + 6L + -2bL + bl + -6l = 0 + 6L Combine like terms: -6L + 6L = 0 0 + -2bL + bl + -6l = 0 + 6L -2bL + bl + -6l = 0 + 6L Remove the zero: -2bL + bl + -6l = 6L Add '6l' to each side of the equation. -2bL + bl + -6l + 6l = 6L + 6l Combine like terms: -6l + 6l = 0 -2bL + bl + 0 = 6L + 6l -2bL + bl = 6L + 6l 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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