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The number of solutions the equation |x+...

The number of solutions the equation `|x+1|^(log_(x+1)(3+2x-x^(2)))=(x-3)|x|` has is

A

only one

B

two

C

no

D

more than two

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The correct Answer is:
C
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ML KHANNA-LOGARITHMS AND SURDS-Problem Set (2) (Multiple choice questions)
  1. (6)/(5)a^(log(a)xlog(10)alog(a)5)-3^(log(10)(x//10))=9^(log(100)x+log(...

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  2. The equation x^([(log(3)x)^(2)-(9//2)log(3)x+5])=3sqrt(3) has

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  3. The number of solutions the equation |x+1|^(log(x+1)(3+2x-x^(2)))=(x-3...

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  4. The solution of the equation 5^(log(a)x)+5x^(log(a)5)=3, (agt0) is

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  5. log(10)x+log(10)x^(1//2)+log(10)x^(1//4)+....=y and (1+3+5+...(2y-1))/...

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  6. log((2x+3))(6x^(2)+23x+21) =4-log((3x+7))(4x^(2)+12x+9), then x=

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  7. The number of solutions of the equation log(x-3)(x^(3)-3x^(2)-4x+8)=3 ...

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  8. Let [x] denote the greatest integer function. The number of solutions ...

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  9. The roots of the equation log(2)(x^(2)-4x+5)=(x-2) are

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  10. If xlog(10)(10//3)+log(10)3=log(10)(2+3^(x))+x, then x=

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  11. If log(y)x+log(x)y=2,x^(2)+y=12, then the values of x,y are

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  12. If log(2)x+log(x)2=(10)/(3)=log(2)y+log(y)2 and xney then x+y =

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  13. If 2^(x)-2^(x-1)=4, then x^(x) is equal to

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  14. If log(2)xy=5,log(1//2)(x//y)=1, then the values of x,y are

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  15. If (log)(10)[1/(2^x+x-1)]=x[(log)(10)5-1] , then x= 4 (b) 3 (c) 2 ...

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  16. For agt0, ne 1 the roots of the equation log(ax)a+log(x)a^(2)+log(a^(2...

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  17. The number of real solutions of the equation log(-x)=2log(x+1) is

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  18. The equation (x^(2))/(1-|x-2|)=1 has

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  19. The equation (x^(2))/(|x-2|)=|(2x)/(x-2)|+|x| has solutions whose numb...

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  20. The roots of the equation |x^(2)-x-6|=x+2 are

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