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If 3^(2 log3 x)-2x-3=0, then the number ...

If `3^(2 log_3 x)-2x-3=0,` then the number of values of 'x' satisfying the equation is (i)`0` (ii)`1` (iii)`2` (iv)more than 2

A

zero

B

1

C

2

D

more than 2

Text Solution

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The correct Answer is:
B
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MOTION-BASIC MATHEMATIC & LOGARITHM -Exercise - 1
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  2. 1/(log(sqrt(bc))abc)+1/(log(sqrt(ca))abc)+1/(log(sqrt(ab))abc) has the...

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

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

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

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

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

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  8. 2 log(4) (4 - x) = 4 - log(2) ( - 2 - x).

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

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

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

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

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

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

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

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

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

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

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

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

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