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If 1 , logy , x , logz , y , -15 logx z ...

If 1 , `log_y , x , log_z , y , -15 log_x z` are in A.P. , then which is correct ?

A

a. `z^(3)=x`

B

b. `x=y^(-1)`

C

c. `z^(-3)=y`

D

d. `x=y^(-1) =z^(3)`

Text Solution

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The correct Answer is:
D
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ARIHANT SSC-LOGARITHM -EXERCISE LEVEL 1
  1. The value of (log(3)54)/(log(486)3) - (log(3)1458)/(log(18)3) is:

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  2. The number of solution of log(9)(2x-5) = log(3) (x-4) is:

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  3. If log(3)2, log(3)(2^(x)-5) and log(3)(2^(x)-7//2) are in AP then x is...

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  4. If 1 , logy , x , logz , y , -15 logx z are in A.P. , then which is co...

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  5. If log(x)a,a^(x//2) and log(a)x are in G.P, then x is equal to:

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  6. If log(3)2, log(3)(2^(x)-5) and log(3)(2^(x)-7//2) are in AP then x is...

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  7. The value of 1/(log(100)n) + 1/(log(99)n) + 1/(log(98)n) +……..+1/(log(...

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  8. If log(3)2, log(3)(2^(x)-5) and log(3)(2^(x)-7//2) are in AP then x is...

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  9. x^(log (5)x) gt 5 implies:

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  10. Find x, if log x^(3) - log 3x =2 log 2 + log 3,

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  11. If x satisfies log(S)(2x+3) lt log(s)7, then x lies in:

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  12. log(2)sqrt(x)+log(2)sqrt(x)=4

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  13. For a positive real x(x gt 1), which one of the following correct?

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  14. For x in N, x gt 1, if P=log(x)(x+1) and Q = log(x+1) (x+2) then which...

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  15. If a= 1+ log(x) yz, b=1 + log(y)zx and c=1 +log(z)xy, the ab+bc +ca is...

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  16. If xy^(2) = 4 and log(3) (log(2) x) + log(1//3) (log(1//2) y)=1 , then...

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  17. Find x if log(1//sqrt(2)) (1//sqrt(8)) = log(2)(4^(x) +1). Log(4^(x+1)...

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  18. The value of x satisfying log(3)4 -2 log(3)sqrt(3x +1) =1 - log(3)(5...

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  19. The solution set of |3-4x| gt 2 is:

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  20. Solve the following equation for x and y log(100)|x+y| = 1/2, log(10...

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