CONFUSION.........

VITEEE 2015 Sample Questions › Fundamentals questions › CONFUSION.........

If i take y=x^{x^x}.......and
use log.......
CASE 1.. logy=x^xlogx...
CASE 2....logy=xlogx^x
=logy=x²logx...........WHICH IS CORRECT??

#Mathematics #Fundamentals

UP 0 DOWN 0 0 6
Post on FacebookPost anonymously?

6 Answers

1

Akand ·2009-03-15 22:38:24

koi bolo naa plzzzzzzzzzzzz

UP 0 DOWN 0
Post on FacebookPost anonymously?

62

Lokesh Verma ·2009-03-15 22:42:02

These are 2 differnt things

\left(x^{y} \right)^{z}

and

x^{(y^{z})}

now you have to say!

UP 0 DOWN 0
Post on FacebookPost anonymously?

106

Asish Mahapatra ·2009-03-15 22:43:33

ya bhaiyya ... case (i) is correct .. actually x^{x^{x^x}} = x^{(x^{x^x})}

so. case (i) is correct

UP 0 DOWN 0
Post on FacebookPost anonymously?

1

Akand ·2009-03-15 22:44:10

yup...................got d answer for my illogical foolish dobt

UP 0 DOWN 0
Post on FacebookPost anonymously?

1

Akand ·2009-03-15 22:45:54

so can I say x=2??? hehehe

UP 0 DOWN 0
Post on FacebookPost anonymously?

62

Lokesh Verma ·2009-03-15 22:46:36

Yes asish..

i agree to you.. but still this is an ambiguity that must be made clear by the question setter.

I am not very sure/aware if there is a "standard" (Internationally accepted) convention for this one...

But i wud go with what you have just written.

UP 0 DOWN 0
Post on FacebookPost anonymously?

Your Answer

Basic Integral Calculus Operators Symbols Matrix Cases

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

∫ ∫ ∫ ∫ ∫ ∬ ∬ ∬ ∬ ∬ ∭ ∭ ∭ ∭ ∭ ⨌ ⨌ ⨌ ⨌ ⨌

∑ ∑ ∑ ∑ ∑ ∮ ∮ ∮ ∮ ∮ ∏ ∏ ∏ ∏ ∏ ∐ ∐ ∐ ∐ ∐

+ - × ÷ ± ∓ = ∪ ∩ ≠ ∼ ≈ ∅ ∀ ∃ ∈ ∋ ∝ ≤ ≥ ≃ ≅ ≡ < > ≪ ≫ ⊂ ∉ ⊃ ⊆ ⊇ ⇒ ⇐ ⇔ ⇒ ⇐ ⇔ ⇑ ⇓ ⇕ → ← ↔ → ← ↔ ↑ ↓ ↕ ↖ ↗ ↘ ↙ ↪ ↩ ⇀ ↼ ⇁ ↽

° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω