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maheshmeghwal9
Plz help:)
why b>1? Why not b>0?
in the attachment.
holymoly that's one big pic.
should I make it small?
b>1 because the negatitve exponents will take care of values for b between 0 and 1... that make sense?
so it is defined for b>1
didn't understand ya main concept:(
do you see why b doesn't have to be defined between 0 and 1?
but what is the problem for 0<b<1.Isn't it defined for exponential f(x) too. Since it also gives a value which is defined as "x". in ur example|dw:1337932045573:dw| All r defined:)
there's no problem... with 0<b<1.. it's just not needed...
k! did it have no need due to log?
notice the base of logs CAN have a base between 0 and 1 also but could be transformed and written with a base bigger than 1
is there a reason why this was bumped?
Hi @experimentX I couldn't understand the my basic questiom.Plz help:)
I don't understand the reason why b should be greater than 1, but b should always be greater than zero ... for that expression to be defined
ya I also think this:)
\[ \log_b x = \frac{\log_k x}{\log_k b}\] Also between 0-1 \( \log_k b < 1\)
I had this problem while studying Logarithmic Differentiation. I think there is some connection between b>1 & Logarithmic Differentiation.
\[ \frac{d}{dx} (\log_b x) = \frac{1}{x \ln b}\] At b=1, \( \ln b =0\) is zero ... so it is undefined, so is the above expression, but for (0,1) the expression is defined http://www.wolframalpha.com/input/?i=plot+y+%3D+d%2Fdx+log [0.5%2C+x]+from+0+to+10 http://www.wolframalpha.com/input/?i=plot+y+%3D+log [0.5%2C+x]+from+0+to+10
So indirectly do u want to say that b>1 is right there! Please tell:)
No ... i think i got it wrong it somewhere check this out http://www.wolframalpha.com/input/?i=plot+y+%3D+log [x%2C+2]+from+0+to+10
it seems i was right ... but somewhat not accurate http://www.wolframalpha.com/input/?i=plot+y+%3D+log [x%2C+5]+from+0+to+2
K! I understood that.I also think u r right.
at b=0, \( \log_b x\) is zero ... and \( dy/dx\) is indeterminate
ow I have some clues. I will think on that point more. Thanx for clues:)
http://www.wolframalpha.com/input/?i=plot+y+%3D+d%2Fdx%28log [b%2C+x]%29+from+b%3D0+to+2 check this out
Hmm! I checked that:)
b cannot be 1 and less than zero ... that's all
k! but can be (0,1)
so we again came there; where was our doubt:)
this is a very confusing state; isn't it?
What should we do now? by the way I have asked this to my sir also online, but they will receive question & give answer after almost a week!!!
what was the original question??
Pardon me what do u want?; that is a video cutted part. I had this problem while studying video:)
Oh ... i thought this is a part of the problem where you got stuck!!
so is there anyone in OS who can solve our problem:)
k! np:) Thanx for ur co-operation. When my problem is solved, i'll tell u too.