Logarithm

IIT JEE 2015 Sample Questions › Algebra questions › Logarithm

log_ab=3/2
log_cd=5/4
a-c=9

find b-d

#Mathematics #Algebra

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6 Answers

35

Rohit Chowdhuri ·2013-04-25 19:55:31

Sir! pls provide a hint for solving this.

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1057

Ketan Chandak ·2013-04-25 20:42:11

93

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1357

Manish Shankar ·2013-04-26 06:46:19

Also given a,b,c,d are positive integers

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1357

Manish Shankar ·2013-04-26 06:52:12

a³=b² & c⁵=d⁴

let, a=x², b=x³, c=y⁴, d=y⁵

a-c=x²-y⁴=(x+y²)(x-y²)=9

x+y²=9, & x-y²=1

x=5, y=2

b-d=5³-2⁵=93

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1

Debojyoti Biswas ·2013-05-05 06:03:43

9 can be written as 3*3,1*9,9*1. why it's only 9*1.Is it for gcd(x,y)=1 and x and y are unequal positive real or else??

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466

Himanshu Giria ·2013-05-17 07:32:05

YES SIR I TOO HAVE THE SAME QUESTION

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Himanshu Giria 3 OPTIONS ARE THERE 9*1 , 1*9 ; 3*3 9*1 CANNOT BE BCOZ THEY ARE +VE INTEGERS SIR , BUT WHY NOT 3*3
Upvote·0· Reply ·2013-05-21 23:57:21
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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