Exponential inequalities

10172015, 09:06 AM
Post: #9




RE: Exponential inequalities
(10112015 10:20 AM)Aries Wrote:(10102015 11:58 AM)parisse Wrote: The solver can solve polynomiallike equations/inequations. Unfortunately there is no easy way to reduce all equations/inequations to a polynomial. But most of the time, you can help the CAS by calling the right presimplification command. Here you can do (2^(3*x))/2+(2^(6+x))/42^(3*x)*8(2^(6*x))/16<0; ((2^(6*x)*(41))/16)+((2^(3*x)*(116))/2)<0; setting (2^(3*x))=u, we've got (3/16)*(u^2)(15/2)*u<0. Doing lcm, we've got (u^2)40*u<0, then u*(u40)<0. u<0 is never verified (2^(3*x)<0). Doing u<40, we've got ln(2^(3*x))<ln(40) and finally x<(ln(5)+ln(8))/ln(8). I'm wondering why that "equal" sign in the Prime result *_* Best, Aries ;) 

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Messages In This Thread 
Exponential inequalities  Aries  10092015, 10:54 AM
RE: Exponential inequalities  roadrunner  10102015, 10:35 AM
RE: Exponential inequalities  parisse  10102015, 11:58 AM
RE: Exponential inequalities  Aries  10112015, 10:20 AM
RE: Exponential inequalities  Aries  10172015 09:06 AM
RE: Exponential inequalities  Tim Wessman  10102015, 01:54 PM
RE: Exponential inequalities  Aries  10112015, 06:39 AM
RE: Exponential inequalities  roadrunner  10102015, 11:03 PM
RE: Exponential inequalities  Aries  10112015, 10:23 AM
RE: Exponential inequalities  parisse  10172015, 04:15 PM
RE: Exponential inequalities  Aries  10252015, 10:53 AM

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