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Solve for t log of t-3 = log of 17-4t
For the equation to be equal, the argument of the logarithms on both sides of the equation must be equal.
Solve for .
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Move all terms containing to the left side of the equation.
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Add to both sides of the equation.
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Move all terms not containing to the right side of the equation.
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Add to both sides of the equation.
Add and .
Divide each term in by and simplify.
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Divide each term in by .
Simplify the left side.
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Cancel the common factor of .
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Simplify the right side.
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Simple and best practice solution for log(t-3)=log(17-4t) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.
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Solution for log(t-3)=log(17-4t) equation:
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 * glo + -4t * glo) -3glo + glot = (17glo + -4glot) Solving -3glo + glot = 17glo + -4glot Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-17glo' to each side of the equation. -3glo + -17glo + glot = 17glo + -17glo + -4glot Combine like terms: -3glo + -17glo = -20glo -20glo + glot = 17glo + -17glo + -4glot Combine like terms: 17glo + -17glo = 0 -20glo + glot = 0 + -4glot -20glo + glot = -4glot Add '4glot' to each side of the equation. -20glo + glot + 4glot = -4glot + 4glot Combine like terms: glot + 4glot = 5glot -20glo + 5glot = -4glot + 4glot Combine like terms: -4glot + 4glot = 0 -20glo + 5glot = 0 Factor out the Greatest Common Factor (GCF), '5glo'. 5glo(-4 + t) = 0 Ignore the factor 5.
Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 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 '(-4 + t)' equal to zero and attempt to solve: Simplifying -4 + t = 0 Solving -4 + t = 0 Move all terms containing g to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + t = 0 + 4 Combine like terms: -4 + 4 = 0 0 + t = 0 + 4 t = 0 + 4 Combine like terms: 0 + 4 = 4 t = 4 Add '-1t' to each side of the equation. t + -1t = 4 + -1t Combine like terms: t + -1t = 0 0 = 4 + -1t Simplifying 0 = 4 + -1t 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.You can always share this solution
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Simple and best practice solution for log[t-3]=Log[17-4t] equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.
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Solution for log[t-3]=Log[17-4t] equation:
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) = 0
Subproblem 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.You can always share this solution
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