Here, f(x)=x2 -6 logx-3=0
f(2)=4-6 log2-3=-0.806
f(3)=9-6 log3-3=3.1373
f(2).f(3)=-0.806*3.1373=-2.529422 which is negative.
Hence, the root lies between 2 and 3
c0 =(2+3)/2=2.5
f(2.5)=6.25-6 log 2.5-3=0.8623
Now
n | a(-ve) | b(+ve) | cn | f(cn) |
0 | 2 | 3 | 2.5 | 0.8623 |
1 | 2 | 2.5 | 2.25 | -0.050595 |
2 | 2.25 | 2.5 | 2.375 | 0.38664 |
3 | 2.25 | 2.375 | 2.3125 | 0.1631658 |
4 | 2.25 | 2.3125 | 2.28125 | 0.05506 |
5 | 2.25 | 2.28125 | 2.265625 | 0.001925 |
From the table,
f(2.265625)=0.001928<10-2
Therefore, the...

Log2aa=x then, a=(2a)x ......(1)
Log3a2a=y then,2a=(3a)y ......(2)
Log4a 3a=z then, 3a=(4a)z ......(3)
So,
a=(2a)x [from (1)]
Or, a=(3a)xy [from(2)]
Or, a=(4a)xyz [from(3)]
Multiplying both sides by 4a,
4a.a=4a.(4a)xyz
Or,(2a)² =(4a)xyz + 1
Or,(3a)2y =(4a)xyz+1
Or,(4a)2yz =(4a)xyz+1
Or, 2yz = xyz+1 .proved.

Asksionov thought of killing himself because he remembered all those harsh situations that he had faced in his life without committing any crime . Even his wife didn't believe in him . He got frustrated by thinking all these painful situations that he was ready to kill himself.

conceptualizing the truth,in hegel's term. A lot of philosophers(like descartes' three kinds of ideas) in his time (and a lot of mindfulness practitioners these days)believed a higher form of truth(or knowledge) exists which cannot be articulated but is to be intuited and felt.Hegel didnt consider this to be scientific.you can never know if your intuition is true or its just you making the stuff up.

If one could be a billionaire by following a how-to guide step by step, you'd have already come across it by now.
Well, the how-to "BE" part is simple; own anything that's worth a billion- an idea, an asset, a skill, anything. It is the how-to reach that milestone that is mystic. Carve your own path to it.
Once you find the secret (IF there is one), share it on Mattrab :P
Or maybe don't ;) let others find their own path.

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Quality of life refers to the overall well-being, satisfaction, and happiness that an individual or a community experiences in various aspects of their lives.