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If (log)(10)5=aa n d(log)(10)3=b ,t h e ...

If `(log)_(10)5=aa n d(log)_(10)3=b ,t h e n` `(A) (log)_(30)8=(3(1-a))/(b+1)` `(B) (log)_(40)15=(a+b)/(3-2a)` `(C) (log)_(243)32=(1-a)/b` (d) none of these

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CENGAGE PUBLICATION-LOGARITHM-All Questions
  1. If (log)a b=2,(log)b c=2,a n d(log)3c=3+(log)3a , then the value of c/...

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  2. The inequality sqrt(x^((log)2sqrt(x)))geq2 is satisfied by (A) only ...

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  3. If (log)(10)5=aa n d(log)(10)3=b ,t h e n (A) (log)(30)8=(3(1-a))/...

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  4. The equation (log)(x+1)(x- .5)=(log)(x-0. 5)(x+1) has (A) two real s...

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  5. The difference of roots of the equation ((log)(27)x^3)^2=(log)(27)x^6 ...

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  6. Number of integers satisfying the inequality (log)(1/2)|x-3|> -1 is......

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  7. The number of elements in set of all x satisfying the equation x^(lo...

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  8. Number of real values of x satisfying the equation log2(x^2-x)*log2...

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  9. Let a >1 be a real number. Then the number of roots equation a^(2(log)...

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  10. Number of integers lt=10 satisfying the inequality 2(log)(1/2)(x-1)lt=...

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  11. The number of roots of the equation (log)(3sqrt("x"))x+(log)(3x)sqrt(x...

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  12. The value of (log)(sqrt(4+2sqrt(2))sqrt(4-2sqrt(2)))2^9 is...........

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  13. Find the value of (log)2(2 9 3-2)+(log)2(12 3 3+4+4 9 3)dot

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  14. Find the number of solutions of the following equations: x^(-1/2)(log...

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  15. Find the number of solution to equation (log)2(x+5)=6-x :

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  16. Solve : 2(25)^x-5(10^x)+2(4^x)geq0.

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  17. If (x(y+z-x))/(logx)=(y(z+x-y))/(logy) =(z(x+y-z))/(logz),p rov et h ...

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  18. If (log)3y=xa n d(log)2z=x , find 72^x in terms of yand zdot

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  19. If (log)a3=2and (log)b8=3, then prove that (log)a b=(log)3 4.

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  20. Find the value of log tan1^0logtan2^0...........logtan89^0

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