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Statement 1 is True: Statement 2 is True; Statement 2 is a correct explanation for statement 1 Statement 1 is true, Statement 2 is true;2 Statement 2 not a correct explanation for statement 1. Statement 1 is true, statement 2 is false Statement 1 is false, statement 2 is true Statement I: If `(log)_(((log)_5x))5=2,\ t h n\ x=5^(sqrt(5))` Statement II: `(log)_x a=b ,\ if\ a >0,\ t h e n\ x=a^(1//b)` a.`A` b. `\ B` c.`\ C` d. `D`

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Statement 1 is True: Statement 2 is True; Statement 2 is a correct explanation for statement 1 Statement 1 is true, Statement 2 is true;2 Statement 2 not a correct explanation for statement 1. Statement 1 is true, statement 2 is false Statement 1 is false, statement 2 is true Statement I: If A is obtuse angle I A B C , then tanB\ t a n C<1 because Statement II: In A B C ,\ t a n A=(t a n B+t a n C)/(t a n B t a n C-1)\ a. A b. \ B c. \ C d. D

Statement 1 is True: Statement 2 is True; Statement 2 is a correct explanation for statement 1 Statement 1 is true, Statement 2 is true;2 Statement 2 not a correct explanation for statement 1. Statement 1 is true, statement 2 is false Statement 1 is false, statement 2 is true Statement I: the equation (log)_(1/(2+|"x"|))(5+x^2)=(log)_()(15+sqrt(x)) has real solutions. Because Statement II: (log)_(1//"b")a=(log)_b a (w h e r e a , b >0 a n d b!=1) and if number and base both are greater than unity then the number is positive. a.A b. B c. C d. D

Statement 1 is True: Statement 2 is True; Statement 2 is a correct explanation for statement 1 Statement 1 is true, Statement 2 is true;2 Statement 2 not a correct explanation for statement 1. Statement 1 is true, statement 2 is false Statement 1 is false, statement 2 is true Statement I: If a=y^2, b=z^2, c=x^2, t h e n8(log)_a x^3dot(log)_b y^3dot(log)_c z^3=27 Statement II: (log)_b adot(log)_c b=(log)_c a , also (log)_b a=1/("log"_a b) a.A b. B c. C d. D

Statement 1 is True: Statement 2 is True; Statement 2 is a correct explanation for statement 1 Statement 1 is true, Statement 2 is true;2 Statement 2 not a correct explanation for statement 1. Statement 1 is true, statement 2 is false Statement 1 is false, statement 2 is true Statement I: sec^2theta=(4x y)/((x+y)^2) is positive for all real values of x\ a n d\ y oly when x=y because Statement II: t^2geq0AAt in R\ a. A b. \ B c. \ C d. D

Statement 1 is True: Statement 2 is True; Statement 2 is a correct explanation for statement 1 Statement 1 is true, Statement 2 is true;2 Statement 2 not a correct explanation for statement 1. Statement 1 is true, statement 2 is false Statement 1 is false, statement 2 is true Statement I: t a n5theta-t a n3theta-t a n2theta=t a n5thetat a n3thetat a n2theta Statement II: x=y+z=>t a n x-t a n y-t a n z=t a n x t a n y t a n zdot a. A b. \ B c. \ C d. D

Statement I is True: Statement II is True; Statement II is a correct explanation for statement I Statement I is true, Statement II is true; Statement II not a correct explanation for statement I. Statement I is true, statement II is false Statement I is false, statement II is true Statement I: cos e s^(-1)(cos e c9/5)=pi-9/5dot because Statement II: cos e c^(-1)(cos e c x)=pi-x :\ AAx in [pi/2,(3pi)/2]-{pi} a. A b. \ B c. \ C d. D

Statement 1 is True: Statement 2 is True; Statement 2 is a correct explanation for statement 1 Statement 1 is true, Statement 2 is true 2 Statement 2 not a correct explanation for statement 1. Statement 1 is true, statement 2 is false Statement 1 is false, statement 2 is true Statement I: If a ,\ \ b , c in R\ a n d a!=b!=c\ a n d\ x ,\ y ,\ z are non zero. Then the system of equations a x+b y+c z=0b x+c y+a z=0c x+a y+b z=0 has infinite solutions. because Statement II: If the homogeneous system of equations has non trivial solution, then it has infinitely many solutions. a. A b. \ B c. \ C d. D

Statement-1(Assertion) and Statement-2 (reason) Each of these question also has four alternative choices, only one of which is the correct answer. You have to select the correct choice as given below. (a) Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for Statement-1 Statement-1 is true, Statement-2 is true, Statement-2 is not a correct explanation for Statement -1 (c) Statement -1 is true, Statement -2 is false (d) Statement -1 is false, Statement -2 is true Statement -1 The equation x^(log_x(1-x)^2)=9 has two distinct real solutions. Statement -2 a^(log_ab)=b , when alt0,ane1,bgt0 .

Statement-1(Assertion) and Statement-2 (reason) Each of these question also has four alternative choices, only one of which is the correct answer. You have to select the correct choice as given below. (a) Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for Statement-1 Statement-1 is true, Statement-2 is true, Statement-2 is not a correct explanation for Statement -1 (c) Statement -1 is true, Statement -2 is false (d) Statement -1 is false, Statement -2 is true Statement -1 The equation 7^(log_7(x^3+1))-x^2=1 has two distinct real roots . Statement -2 a^(log_aN)=N , where agt0 , ane1 and Ngt0

Statement-1(Assertion) and Statement-2 (reason) Each of these question also has four alternative choices, only one of which is the correct answer. You have to select the correct choice as given below. (a) Statement-1 is true, Statement-2 is true, Statement-2 is a correct explanation for Statement-1 Statement-1 is true, Statement-2 is true, Statement-2 is not a correct explanation for Statement -1 (c) Statement -1 is true, Statement -2 is false (d) Statement -1 is false, Statement -2 is true Statement -1 log_10xltlog_3xltlog_exltlog_2x (xgt0,xne1) Statment If 0ltxlt1 , then log_xagtlog_xbimplies0ltaltb .

ALLEN-LOGARITHMS-All Questions
  1. 9^(1+logx)-3^(1+logx)-210=0 where the base of log is 10

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  2. Statement 1 is True: Statement 2 is True; Statement 2 is a correct ...

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  3. Statement 1 is True: Statement 2 is True; Statement 2 is a correct ...

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  4. Statement 1 is True: Statement 2 is True; Statement 2 is a correct ...

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  5. Comprehension 1 Let a^((log)b x)=c\ w h e r e\ a ,\ b ,\ c\ &\ x...

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  6. Comprehension 1 Let a^((log)b x)=c\ w h e r e\ a ,\ b ,\ c\ &\ x...

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  7. Comprehension 1 Let a^((log)b x)=c\ w h e r e\ a ,\ b ,\ c\ &\ x...

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  8. Comprehension 2 In comparison of two numbers, logarithm of small...

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  9. Comprehension 2 In comparison of two numbers, logarithm of small...

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  10. Comprehension 3 If P is the non negative characteristic of (log)(10...

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  11. Comprehension 3 If P is the non negative characteristic of (log)(10...

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  12. If (log)(10)33. 8=1. 5289 ,\ t h e n(log)(10)0. 338 is- a. 1 .5289 b....

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  13. Prove that ((log)a N)/((log)(a b)N)=1+(log)a b

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  14. log(1//3)sqrt(729*root(3)(9^(- 1)*27^(-4//3))) is equal to

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  15. Compute the following a^(((log)b((log)a N))/((log)b\ \ a))

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  16. Prove the identity; (log)a Ndot(log)b N+(log)b Ndot(log)c N+(log)c Ndo...

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  17. Which is smaller? 2 or ((log)("e"-1)2+(log)2e-1)

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

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  19. Find the value of 49^A+5^B w h e r e\ A=1-(log)7 2\ &\ B=-(log)5 4.

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  20. If 4^A+9^B=10^C ,\ where A=(log)(16)4,\ B=(log)3 9\ &\ C=(log)x 83 th...

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