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Show that log4 (18) is an irrational num...

Show that `log_4 (18)` is an irrational number

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ALLEN-LOGARITHMS-All Questions
  1. If ||x-1|-2|=5 then find xdot

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Which of the following are correct? a.(log)3 19.(log)(1//7)3.(log)4 1...

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  17. If p , q in N satisfy the equation x^sqrt(x)=(sqrt(x))^x, then p a n ...

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  18. The expression logp.logp(((p)^(1/p))^(1/p)........n time)^(1/p) where ...

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  19. Which of the following numbers are positive? a.(log)(log3 2)(1/2) b. ...

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  20. lf logpq+logq r +logr p vanishes where p, q and r are positive reals d...

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