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If 6/5 a^A-3^B=9^C where A=loga x.log(10...

If `6/5 a^A-3^B=9^C` where `A=log_a x.log_(10) alog_a 5,B=log_(10) (x/10)` and `C=log_(100) x+log_4 2`. Find x

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If (6)/(5)a^(A)-3^(B)=9^(C) where A=log_(a)x*log_(10)a log_(a)5,B=log_(10)((x)/(10)) and C=log_(100)x+log_(4)2. Find x

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ALLEN-LOGARITHMS-All Questions
  1. Show that log4 (18) is an irrational number

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

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  3. If 6/5 a^A-3^B=9^C where A=loga x.log(10) aloga 5,B=log(10) (x/10) and...

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  4. Solve : (log)((2"x"-1))\ ((x^4+2)/(2x+1))\ =1

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  5. 1/((log)(sqrt(b c))a b c)+1/((log)(sqrt(c a))a b c)+1/((log)(sqrt(a b)...

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  6. The ratio (2^(log(2^(1/4))a)-3^(log(27)(a^2+1)^3)-2a)/(7^(4log(49)a-a-...

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

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

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  9. If p=s/((1+k)^n),\ t h e n\ n\ equals a.logs/(p(1+k)) b. (log(s//p))...

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  10. Value of x satifying (log)(10)sqrt(1+x)+3(log)(10)sqrt(1-x)=(log)(10)s...

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

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

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  13. The value of 3^((log)4 5)+4^((log)5 3)-5^((log)4 3)-3^((log)5 4) is- a...

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  14. Given that (log)p x=alpha\ a n d(log)q x=beta,\ then value of equa...

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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? 1/((log)3 2)+2/((log...

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  20. The number N=(1+2(log)3 2)/((1+(log)3 2)^2)+log6 2 2 when simplified r...

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