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

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baddinlol
 2 years ago
Best ResponseYou've already chosen the best response.0Is it a simple scientific calculator?

mukushla
 2 years ago
Best ResponseYou've already chosen the best response.0isolate Tm (on the right hand side equation)

mukushla
 2 years ago
Best ResponseYou've already chosen the best response.0u 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

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0wahhh i dont get you...go slow please :(

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

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0lol i only need to know how to input this in calculator :C

phi
 2 years ago
Best ResponseYou've already chosen the best response.1I 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.

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

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

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0hmm...where did 2 come from again?

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0@phi are you familiar with the shift + solve in scientific calculators?

phi
 2 years ago
Best ResponseYou've already chosen the best response.1No, but I assume it can solve equations numerically?

lgbasallote
 2 years ago
Best ResponseYou've already chosen the best response.0i think so..if i can figure it out...

phi
 2 years ago
Best ResponseYou've already chosen the best response.1maybe 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

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

phi
 2 years ago
Best ResponseYou've already chosen the best response.1what calculator are you using? so I can look at its user manual
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