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If log(e)5,log(e)(5^(x) - 1) and log(e)...

If `log_(e)5`,`log_(e)(5^(x) - 1)` and `log_(e)(5^(x) - 11/5)` are in A.P., then the values of `x` are

A

`log_(5)4` and `log_(5)3`

B

`log_(3)4` and `log_(4)3`

C

`log_(3)4` and `log_(3)5`

D

`log_(5)6` and `log_(5)7`

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The correct Answer is:
A
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NEW JOYTHI PUBLICATION-SEQUENCES AND SERIES -QUESTIONS FROM COMPETITIVE EXAMS
  1. Let s(n) denote the sum of first n terms of an A.P. and S(2n) = 3S(n)....

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  2. The first four terms of an A.P. are a, 9, 3a - b, 3a + b. The 2011^(th...

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  3. If log(e)5,log(e)(5^(x) - 1) and log(e)(5^(x) - 11/5) are in A.P., th...

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  4. The sum to n terms of the series 4/3 + 10/9 + 28/27 + ……. is

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  5. If sum(k = 1)^(n) k (k + 1)(k - 1) = pn^(4) + qn^(3) + tn^(2) + sn whe...

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  6. In an A.P., the first term is 2 and the sum of first five terms is 5. ...

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  7. If a, b, c, d are in G.P., then (a + b + c + d)^(2) is equal to

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  8. The sum of first n terms of the series 1 + (1 + x) y+ (1 + x + x^(2)) ...

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  9. If 3^(rd), 7^(th) and 12^(th) terms of A.P. are three consecutive term...

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  10. If a(1) = 4 and a(n + 1) = a(n) + 4n for n gt= 1, then the value of a(...

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  11. If the first term of a G.P. is 729 and its 7^(th) term is 64, then the...

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  12. Let a(1), a(2), a(3), a(4) be in A.P. If a(1) + a(4) = 10 and a(2)a(3)...

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  13. The 100^(th) term of the sequence 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, ……. is

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  14. Let S(n) denote the sum of first n terms of an A.P. If S(4) = -34,S(3)...

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  15. An A.P. has the property that the sum of first ten terms is half the s...

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  16. The sum of the series sum(n =8)^(17)1/((n + 2)(n + 3)) is equal to

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  17. If two positive numbers are in the ratio 3 + 2sqrt(2) : 3 - 2sqrt(2), ...

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  18. Let x(1), x(2), …… , x(n) be in an A.P. If x(1) + x(4) + x(9) + x(11) ...

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  19. If the second and fifth terms of a G.P. are 24 and 3 respectively, the...

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  20. If the sum of first 75 terms of an A.P. is 2625, then the 38^(th) term...

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