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Simplifying Log(2t + -4) = log(14 + -3t) Reorder the terms: goL(-4 + 2t) = log(14 + -3t) (-4 * goL + 2t * goL) = log(14 + -3t) (-4goL + 2gotL) = log(14 + -3t) -4goL + 2gotL = (14 * glo + -3t * glo) -4goL + 2gotL = (14glo + -3glot) Solving -4goL + 2gotL = 14glo + -3glot Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-14glo' to each side of the equation. -4goL + -14glo + 2gotL = 14glo + -14glo + -3glot Reorder the terms: -14glo + -4goL + 2gotL = 14glo + -14glo + -3glot Combine like terms: 14glo + -14glo = 0 -14glo + -4goL + 2gotL = 0 + -3glot -14glo + -4goL + 2gotL = -3glot Add '3glot' to each side of the equation. -14glo + -4goL + 3glot + 2gotL = -3glot + 3glot Reorder the terms: -14glo + 3glot + -4goL + 2gotL = -3glot + 3glot Combine like terms: -3glot + 3glot = 0 -14glo + 3glot + -4goL + 2gotL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-14l + 3lt + -4L + 2tL) = 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 '(-14l + 3lt + -4L + 2tL)' equal to zero and attempt to solve: Simplifying -14l + 3lt + -4L + 2tL = 0 Reorder the terms: -4L + -14l + 3lt + 2tL = 0 Solving -4L + -14l + 3lt + 2tL = 0 Move all terms containing g to the left, all other terms to the right. Add '4L' to each side of the equation. -4L + -14l + 3lt + 4L + 2tL = 0 + 4L Reorder the terms: -4L + 4L + -14l + 3lt + 2tL = 0 + 4L Combine like terms: -4L + 4L = 0 0 + -14l + 3lt + 2tL = 0 + 4L -14l + 3lt + 2tL = 0 + 4L Remove the zero: -14l + 3lt + 2tL = 4L Add '14l' to each side of the equation. -14l + 3lt + 14l + 2tL = 4L + 14l Reorder the terms: -14l + 14l + 3lt + 2tL = 4L + 14l Combine like terms: -14l + 14l = 0 0 + 3lt + 2tL = 4L + 14l 3lt + 2tL = 4L + 14l Add '-3lt' to each side of the equation. 3lt + -3lt + 2tL = 4L + 14l + -3lt Combine like terms: 3lt + -3lt = 0 0 + 2tL = 4L + 14l + -3lt 2tL = 4L + 14l + -3lt Add '-2tL' to each side of the equation. 2tL + -2tL = 4L + 14l + -3lt + -2tL Combine like terms: 2tL + -2tL = 0 0 = 4L + 14l + -3lt + -2tL Simplifying 0 = 4L + 14l + -3lt + -2tL 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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