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

`1/(1 + log_(b) a + log_(b) c)+ 1/(1 + log_(c)a + log_(c)b) + 1/(1 + log_(a)b + log_(a) c) `
has the value equal to

A

abc

B

`1/(abc)`

C

0

D

1

Text Solution

Verified by Experts

The correct Answer is:
D
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MOTION-BASIC MATHEMATIC & LOGARITHM -Exercise - 1
  1. If x, y are rational numbers such that x+ y+(x-2y)sqrt2=2x-y+(x-y-1)sq...

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  2. [2/log4(2000)^6+3/log5(2000)^6]

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  3. 1/(1 + log(b) a + log(b) c)+ 1/(1 + log(c)a + log(c)b) + 1/(1 + log(a)...

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  4. The greatest integer less than or equal to the number log2(15)xx log(...

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  5. Anti logarithm of 0.75 to the base 16 has the value equal to

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  6. The number log(2) 7 is

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  7. The retio (2^(log(2^1/4)) a-3log27(a^2+1)^3-2a)/(7^(4log49 a-a-1) s...

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  8. 1/(log(sqrt(bc))abc)+1/(log(sqrt(ca))abc)+1/(log(sqrt(ab))abc) has the...

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  9. If 3^(2 log3 x)-2x-3=0, then the number of values of 'x' satisfying th...

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  10. If logx log18 (sqrt2+sqrt8)=1/3. Then the value of 1000 x is equal to

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  11. Number of real solution(s) of the equation |x-3|^(3x^2-10x+3)=1 is :

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  12. Number of real solution of the equation sqrt(log(10)(-x)) = log(10) sq...

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  13. Solve for x: log(4) log(3) log(2) x = 0.

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  14. 2 log(4) (4 - x) = 4 - log(2) ( - 2 - x).

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  15. log(10)^(2) x + log(10) x^(2) = log(10)^(2) 2 - 1

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  16. Solve log(2).(x-1)/(x-2) gt 0 or (x-1)/(x-2) gt 2^(0) .

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  17. Solve (log)(0. 04)(x-1)geq(log)(0. 2)(x-1)

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  18. Solve log(2)(x-1) gt 4.

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  19. Solve log(x+3)(x^(2)-x) lt 1.

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  20. How many digits are contained in the number 2^(75) ?

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