sign up I login
 advanced
refer a friend - earn nickels!!

Ask & Discuss Questions with Community & Experts

 Moderation Team
 90 chars left    advanced
Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Find the value
Forum Index -> Algebra like the article? email it to a friend.  
Author Message
[Post New]12 Jul 2008 15:40:15 IST
    Subject: Find the value
[Up] View Post
mathiit (0)

New kid on the Block

Olaaa!! Perrrfect answer. 0  [0 rates]
mathiit's Avatar
total posts: 27    
offline Offline

If log 3=0.4771213


then find

    
[Post New]12 Jul 2008 15:52:11 IST
    Subject: Re:Find the value
[Up] View Post
sachinguptaiit (730)

Hot goIITian

Olaaa!! Perrrfect answer. 128  [173 rates]
sachinguptaiit's Avatar
total posts: 164    
offline Offline

 



 





 



log(2.7)3 + (4/5)log(0.81) - (5/4)log(90)





 



3(log(27)-log(10)) + (4/5) (log(81)-log(100)) - (5/4)(log(9) + log(10))





 



 3(3log(3)-log(10)) + (4/5) (4log(3)-2log(10)) - (5/4)(2log(3) + log(10))





log(3)(9 +(16/5) -(5/2)) + log(10)(-3 -(8/5) - (5/4) )


Solve and put value of log3 as given and i think it is log10


log3(9.7) - 5.85


4.62807661-5.85


= -1.22192339


 
"Before you start some work, always ask yourself three questions - Why am I doing it, What the results might be and Will I be successful. Only when you think deeply and find satisfactory answers to these questions, go ahead."

Chanakya quotes (Indian politician, strategist and writer, 350 BC-275 BC)
 this reply: 2 points  (with 0 Olaaa!! Perrrfect answer.   in 1 votes )   [?]
 
You have to be logged on to rate
  
[Post New]12 Jul 2008 18:06:29 IST
    Subject: Re:Find the value
[Up] View Post
rudra.panda (2218)

Blazing goIITian

Olaaa!! Perrrfect answer. 376  [545 rates]
rudra.panda's Avatar
total posts: 2367    
offline Offline

Here is my solution:


 


\log ((2.7)^3\times(0.81)^\frac{4}{5}\div(90)^\frac{5}{4})\\\\=3 \log \frac{27}{10}+\frac{4}{5}\log \frac{81}{100}-\frac{5}{4}\log 90\\\\=3(\log 3^3-1)+\frac{4}{5}(\log 3^4 -2)-\frac{5}{4}(\log 3^2+1)\\\\=\left(9+\frac{16}{5}-\frac{5}{2}\right)\log 3- \left(3+\frac{8}{5}+\frac{5}{4}\right)\\\\=\frac{97}{10}\log 3- \frac{117}{20}\\\\=4.6280766-5.85\\\\= -1.2219234
God does not care about our mathematical difficulties. He integrates empirically. ~~~Albert Einstein (1879-1955)~~~~
To divide a cube into two other cubes, a fourth power or in general any power whatever into two powers of the same denomination above the second is impossible, and I have assuredly found an admirable proof of this, but the margin is too narrow to contain it.~~~Pierre de Fermat (1601-1665)~~~


 this reply: 0 points  (with 0 Olaaa!! Perrrfect answer.   in 0 votes )   [?]
 
You have to be logged on to rate
  
[Post New]12 Jul 2008 18:54:42 IST
    Subject: Find the value
[Up] View Post
sriram.a (210)

Hot goIITian

Olaaa!! Perrrfect answer. 32  [57 rates]
sriram.a's Avatar
total posts: 152    
offline Offline
Rudra dona u think 3rd last step its 9.7log3-5(117/20)
<SRIRAM.A> on high way of IIT




 this reply: 2 points  (with 0 Olaaa!! Perrrfect answer.   in 1 votes )   [?]
 
You have to be logged on to rate
  
[Post New]12 Jul 2008 18:57:16 IST
    Subject: Find the value
[Up] View Post
rudra.panda (2218)

Blazing goIITian

Olaaa!! Perrrfect answer. 376  [545 rates]
rudra.panda's Avatar
total posts: 2367    
offline Offline
Sorry typing error. Thanks for correcting it.
God does not care about our mathematical difficulties. He integrates empirically. ~~~Albert Einstein (1879-1955)~~~~
To divide a cube into two other cubes, a fourth power or in general any power whatever into two powers of the same denomination above the second is impossible, and I have assuredly found an admirable proof of this, but the margin is too narrow to contain it.~~~Pierre de Fermat (1601-1665)~~~


 this reply: 0 points  (with 0 Olaaa!! Perrrfect answer.   in 0 votes )   [?]
 
You have to be logged on to rate
  
 
Forum Index -> Algebra
Go to:   

Top Offers for goIITians
Correspondence Courses
Brilliant Tutorials
Narayana Institute
Aakash Institute
Classroom/Crash Courses
Narayana - Kota , Delhi , Others
Brilliant Tutorials - Class , Crash
Aakash Institute - Medical , Engg
Online Test Series
Brilliant Tutorials
Narayana Institute
Aakash Institute
Mahesh Tutorials
AMITY      Sri Chaitanya