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

Solve ` log_(x+3)(x^(2)-x) lt 1`.

A

`x in (-3, -2) cup (-1, 0) cup (1, 2)`

B

`x in (-3, -2) cup (-1, 0) cup (1, 3)`

C

`x in (-3, -1) cup (-1, 0) cup (1, 2)`

D

`x in (-3, -1) cup (-1, 0) cup (1, 3)`

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The correct Answer is:
B
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MOTION-BASIC MATHEMATIC & LOGARITHM -Exercise - 1
  1. Number of real solution(s) of the equation |x-3|^(3x^2-10x+3)=1 is :

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

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

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

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

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

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

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

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

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

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  11. Let m be the number of digits in 3^(40) and p be the number of zeroes...

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  12. Given that log(10)(2) = 0.3010..., number of digits in the number 2000...

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  13. If P is the number of natural numbers whose logarithms to the base 10 ...

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  14. The number of real roots of the equation |x|^(2) -3|x| + 2 = 0, is

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  15. Solution of |4x +3| + |3x - 4| = 12 is

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  16. |(x-3)|+2|(x+1)|=4

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  17. Solution of equation: |x|^(2) - |x|+4= 2 x^(2) - 3 |x| + 1

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  18. If log(10) 2 = 0.3010 & log(10) 3 = 0.4771, find the value of log (10)...

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  19. The value of the expression log(10) (tan 6^(@))+log(10) (tan 12^(@))+l...

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  20. Let ABC be a triangle right at C. The value of (log(b+c)a+log(c-b)a)/(...

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