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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: If s intheta+cos e ctheta=2,\ t h e nsin^ntheta=cos e c^ntheta=2^n because Statement II: If \ a+b=2,\ a b=1, then a=b=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: 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: cos^3alpha+cos^3(alpha+(2pi)/3)+(alpha+(4pi)/3)=2cosalphacos(alpha+(2pi)/3)cos(alpha+(4pi)/3) because Statement II: In a+b+c=0=>a^3+b^3+c^3=3a c a. A b. \ B c. \ C d. D

A.Statement I is True: Statement II is True; Statement II is a correct explanation for statement I B.Statement I is true, Statement II is true; Statement II not a correct explanation for statement I. C.Statement I is true, statement II is false D.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(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 .

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: Range of cos(sec^(-1)(1/x)+cos e c1/xtan^(-1)x)i s\ [-1/(sqrt(2)),1/(sqrt(2))] because Statement II: Range of sin^(-1)x+tan^(-1)x+cos^(-1)x\ i s\ [pi/4,(3pi)/4] 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: if r ,\ s\ &\ t be the roots of the equation : x(x-2)(3x-7)=2,\ t h e ntan^(-1)r+tan^(-1)s+tan^(-1)t=3pi//4 because Statement II: The roots of the equation x(x-2)(3x-7)=2 are real & negative. 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 log_x3.log_(x//9)3=log_81(3) has a solution. Statement-2 Change of base in logarithms is possible .

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 I: the equation (log)(1/(2+|"x"|))(5+x^2)=(log)()(15+sqrt(x)...

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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. Let a^((log)b x)=c\ w h e r e\ a ,\ b ,\ c\ &\ x\ are parameters. O...

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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+log2(e-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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