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If (log)a x=p\ a n d(log)b x^2=q ,\ t h ...

If `(log)_a x=p\ a n d(log)_b x^2=q ,\ t h e n(log)_xsqrt(a b)` is equal to (where `a ,\ b ,\ x in R^+-{1}` )- a.`1/p+1/q` b. `1/(2p)+1/q` c.`1/p+1/(2q)` d. `1/(2p)+1/(2q)`

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If log_(a)x = p and log_(b)x^(2) =q, then log_(x)sqrt(ab) is equal to (where, a,b, x in R^(+)-{1})- A) 1/p+1/q , B) 1/(2p)+1/q , C) 1/p+1/(2q) , D) 1/(2p)+1/(2q)

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ALLEN-LOGARITHMS-All Questions
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  2. If a^(2) + b^(2) = 7 ab," prove that " log((a+b)/3) = 1/2 (log a + lo...

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  3. If (log)a x=p\ a n d(log)b x^2=q ,\ t h e n(log)xsqrt(a b) is equal to...

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  4. If a, b, c are distinct positive real numbers each different from unit...

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  5. Evaluate: 81^(1//log(s)3) + 27^(log(g)36) + 3^(4//log(l)9)

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  6. If ||x-1|-2|=5 then find xdot

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  7. Solve : x|x+3|+2|x+2|=0

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  8. Show that log4 (18) is an irrational number

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  9. If in a right angled triangle, a\ a n d\ b are the lengths of sides ...

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  10. Solve for x the following equation 6/5.a^(log xlogg10 aloga 5)-3^(log1...

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  11. The value of expression, (log)4((x^2)/4)-2(log)4(4x^4) when x=-2 is (a...

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  12. Which one of the following denotes the greatest positive proper fra...

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  13. The equation (log)2(2x^2)+(log)2xdotx^((log)x((log)2x+1))+1/2log4 2(x^...

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  14. Given system of simultaneous equations 2^x\ . 5^y=1\ a n d\ 5^(x+1). 2...

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  15. If (log)c 2.(log)b 625=(log)(10)16.(log)c 10\ w h e r e\ c >0; c!=1; b...

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  16. Number of ciphers after decimal before a significant figure comes i...

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  17. Which of the following when simplified reduces to an integer? a.(2l...

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  18. The equation ((log)8(8/(x^2)))/(((log)8x^2))=3 has- a.\ no integra...

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  19. Which of the following when simplified, vanishes? a.1/((log)3 2)+2/((...

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  20. The number N=(1+2log(3)2)/((1+log(3)2)^(2))+(log(6)2)^(2) when simplif...

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