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Can't Solve Exponential Equation in Mathematica

Posted 10 years ago
I'm trying to solve the following equation for t, so I inputted it in to mathematica
Solve [16.533Exp[2/7Log[3/5]t]+16.467Exp[0.02106t]=37,{t}]
And I got the following error:
Solve::inex: Solve was unable to solve the system with inexact coefficients or the system obtained by direct rationalization of inexact numbers present in the system. Since many of the methods used by Solve require exact input, providing Solve with an exact version of the system may help. >>

When you type the same command in to Wolfram Alpha you get two solutions, the one which is relevant to my problem is =-1.67.

Any help would be greatly appreciated!
POSTED BY: Amy Gordon
2 Replies
Posted 10 years ago
Alpha may be switching to FindRoot?

FindRoot[16.533 Exp[2/7 Log[3/5] t] + 16.467 Exp[0.02106 t] == 37, {t,0}]
POSTED BY: David Keith
Posted 10 years ago
Wow, you've just made the maths coursework a lot easier, thank you!
POSTED BY: Amy Gordon
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