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Let a=(log)3(log)3 2. An integer k satis...

Let `a=(log)_3(log)_3 2.` An integer `k` satisfying `1<2^(-k+3^((-a)))<2,` must be less than ..........

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To solve the problem, we need to find the integer \( k \) satisfying the inequality: \[ 1 < 2^{-k + 3^{-a}} < 2 \] where \( a = \log_3(\log_3 2) \). ...
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CENGAGE ENGLISH-LOGARITHM-All Questions
  1. If (log)b a(log)c a+(log)a b(log)c b+(log)a c(log)bc=3 (where a , b ,...

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  2. Solve for: x :(2x)^((log)b2)=(3x)^((log)b3) .

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  3. Let a=(log)3(log)3 2. An integer k satisfying 1<2^(-k+3^((-a)))<2, mus...

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  4. The value of 6+(log)(3/2)[1/(3sqrt(2)) * sqrt{ (4 - 1/(3sqrt(2))) sqrt...

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  5. (log)(x-1)x (log)(x-2)(x-1) .....(log)(x-12)(x-11)=2,x is equal to: 9...

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  6. If a , b , c are consecutive positive integers and (log(1+a c)=2K , th...

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  7. If (a+(log)4 3)/(a+(log)2 3)=(a+(log)8 3)/(a+(log)4 3)=b ,then b is eq...

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  8. If p >1 and q >1 are such that log(p+q)=logp+logq ,then the value of l...

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  9. The value of (1+2(log)3 2)/((1+(log)3 2)^2)+((log)6 2)^2 is 2 (b) 3 ...

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  10. If (log)4 5=aa n d(log)5 6=b , then (log)3 2 is equal to 1/(2a+1) (b)...

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  11. If (log)(10)2=a ,(log)(10)3=bt h e n(log)(0. 72)(9. 6) in terms of a a...

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  12. There exists a natural number N which is 50 times its own logarithm t...

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  13. The value of ((log)2 24)/((log)(96)2)-((log)2 192)/((log)(12)2) is 3 (...

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  14. Find the number of solutions of equation (2x-3)2^x=1

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  15. Find the value of (log)(2sqrt(3))1728.

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  16. Prove that 1/3<(log)(10)3<1/2dot

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  17. Arrange (log)2 5,(log)(0. 5)5,(log)7 5,(log)3 5 in decreasing order.

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  18. If 3^x=4^(x-1) , then x= (2(log)3 2)/(2(log)3 2-1) (b) 2/(2-(log)2 3...

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  19. Solve: |x-3|^(3x^2-10 x+3)=1

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  20. Find the smallest integral value of x satisfying (x-2)^(x^2-6x+8))&gt...

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