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log((2x+3))(6x^(2)+23x+21) =4-log((3x+...

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

A

`-4`

B

`-2`

C

`-1//4`

D

`-4`

Text Solution

Verified by Experts

The correct Answer is:
C
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ML KHANNA-LOGARITHMS AND SURDS-Problem Set (2) (Multiple choice questions)
  1. The solution of the equation 5^(log(a)x)+5x^(log(a)5)=3, (agt0) is

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. The set of all real numbers x for which x^2-|x+2| +x gt 0 is

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

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  20. The sum of the roots of equation (x-4)^(2)-8|x-4|+15=0 is

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