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how to solve for \(T_m\) using a calculator?
\[\huge \frac{\ln (\frac{40  T_m}{70T_m})}{5} = \frac{\ln (\frac{0.5}{70T_m})}{35}\]
 one year ago
 one year ago
how to solve for \(T_m\) using a calculator? \[\huge \frac{\ln (\frac{40  T_m}{70T_m})}{5} = \frac{\ln (\frac{0.5}{70T_m})}{35}\]
 one year ago
 one year ago

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baddinlolBest ResponseYou've already chosen the best response.0
Is it a simple scientific calculator?
 one year ago

mukushlaBest ResponseYou've already chosen the best response.0
isolate Tm (on the right hand side equation)
 one year ago

mukushlaBest ResponseYou've already chosen the best response.0
u will have a equation like: Tm=f(Tm) enter an initial guess to save it in the Ans then enter f(Tm) in ur calculator with Ans instead of Tm then push the Ans Button repeatedly to converge
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
wahhh i dont get you...go slow please :(
 one year ago

phiBest ResponseYou've already chosen the best response.1
you could use newton's method \[ y_{n+1}= y_n  \frac{f(y_n)}{f'(y_n)} \]
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
lol i only need to know how to input this in calculator :C
 one year ago

phiBest ResponseYou've already chosen the best response.1
I believe you can only find a solution using a numerical technique, an iterative search that converges on an answer. A bit painful using a calculator. If you just want the solution, use wolfram.
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
but i need to learn howto use my calculator...hmm will you just tell me how to isolate tm then?
 one year ago

phiBest ResponseYou've already chosen the best response.1
you can get to a form like \[ 2(40T_m)^7=(7T_m)^6 \] but you can not isolate Tm...
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
hmm...where did 2 come from again?
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
@phi are you familiar with the shift + solve in scientific calculators?
 one year ago

phiBest ResponseYou've already chosen the best response.1
No, but I assume it can solve equations numerically?
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
i think so..if i can figure it out...
 one year ago

phiBest ResponseYou've already chosen the best response.1
maybe this will help for convenience, let y= 40x, so the problem can be written as \[2y^7= (y+30)^6 \] \[ 2^{(1/6)}y^{(7/6)}y30 = 0 \] now you find the roots of this expression, and then find x= 40y
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.0
hmm i did not get that lol sorry...i'll try doing trial and error on my calculator now
 one year ago

phiBest ResponseYou've already chosen the best response.1
what calculator are you using? so I can look at its user manual
 one year ago
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