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Simplifying log[t + -3] = Log[17 + -4t] Reorder the terms: glo[-3 + t] = Log[17 + -4t] [-3 * glo + t * glo] = Log[17 + -4t] [-3glo + glot] = Log[17 + -4t] -3glo + glot = [17 * goL + -4t * goL] -3glo + glot = [17goL + -4gotL] Solving -3glo + glot = 17goL + -4gotL Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-17goL' to each side of the equation. -3glo + glot + -17goL = 17goL + -17goL + -4gotL Combine like terms: 17goL + -17goL = 0 -3glo + glot + -17goL = 0 + -4gotL -3glo + glot + -17goL = -4gotL Add '4gotL' to each side of the equation. -3glo + glot + -17goL + 4gotL = -4gotL + 4gotL Combine like terms: -4gotL + 4gotL = 0 -3glo + glot + -17goL + 4gotL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-3l + lt + -17L + 4tL) = 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 '(-3l + lt + -17L + 4tL)' equal to zero and attempt to solve: Simplifying -3l + lt + -17L + 4tL = 0 Reorder the terms: -17L + -3l + lt + 4tL = 0 Solving -17L + -3l + lt + 4tL = 0 Move all terms containing g to the left, all other terms to the right. Add '17L' to each side of the equation. -17L + -3l + lt + 17L + 4tL = 0 + 17L Reorder the terms: -17L + 17L + -3l + lt + 4tL = 0 + 17L Combine like terms: -17L + 17L = 0 0 + -3l + lt + 4tL = 0 + 17L -3l + lt + 4tL = 0 + 17L Remove the zero: -3l + lt + 4tL = 17L Add '3l' to each side of the equation. -3l + lt + 3l + 4tL = 17L + 3l Reorder the terms: -3l + 3l + lt + 4tL = 17L + 3l Combine like terms: -3l + 3l = 0 0 + lt + 4tL = 17L + 3l lt + 4tL = 17L + 3l Add '-1lt' to each side of the equation. lt + -1lt + 4tL = 17L + 3l + -1lt Combine like terms: lt + -1lt = 0 0 + 4tL = 17L + 3l + -1lt 4tL = 17L + 3l + -1lt Add '-4tL' to each side of the equation. 4tL + -4tL = 17L + 3l + -1lt + -4tL Combine like terms: 4tL + -4tL = 0 0 = 17L + 3l + -1lt + -4tL Simplifying 0 = 17L + 3l + -1lt + -4tL 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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