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Simplifying Log(4t) = log(3t + 5) Remove parenthesis around (4t) goL * 4t = log(3t + 5) Reorder the terms for easier multiplication: 4goL * t = log(3t + 5) Multiply goL * t 4gotL = log(3t + 5) Reorder the terms: 4gotL = glo(5 + 3t) 4gotL = (5 * glo + 3t * glo) 4gotL = (5glo + 3glot) Solving 4gotL = 5glo + 3glot 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. -5glo + 4gotL = 5glo + -5glo + 3glot Combine like terms: 5glo + -5glo = 0 -5glo + 4gotL = 0 + 3glot -5glo + 4gotL = 3glot Add '-3glot' to each side of the equation. -5glo + -3glot + 4gotL = 3glot + -3glot Combine like terms: 3glot + -3glot = 0 -5glo + -3glot + 4gotL = 0 Factor out the Greatest Common Factor (GCF), 'go'. go(-5l + -3lt + 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 '(-5l + -3lt + 4tL)' equal to zero and attempt to solve: Simplifying -5l + -3lt + 4tL = 0 Solving -5l + -3lt + 4tL = 0 Move all terms containing g to the left, all other terms to the right. Add '5l' to each side of the equation. -5l + -3lt + 5l + 4tL = 0 + 5l Reorder the terms: -5l + 5l + -3lt + 4tL = 0 + 5l Combine like terms: -5l + 5l = 0 0 + -3lt + 4tL = 0 + 5l -3lt + 4tL = 0 + 5l Remove the zero: -3lt + 4tL = 5l Add '3lt' to each side of the equation. -3lt + 3lt + 4tL = 5l + 3lt Combine like terms: -3lt + 3lt = 0 0 + 4tL = 5l + 3lt 4tL = 5l + 3lt Add '-4tL' to each side of the equation. 4tL + -4tL = 5l + 3lt + -4tL Combine like terms: 4tL + -4tL = 0 0 = 5l + 3lt + -4tL Simplifying 0 = 5l + 3lt + -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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