Related InterviewSolutions

• If `x^((log_2 x)^(2)-6 log_2 x+11)=64` then x is equal toA. 2B. 4C. 6D. 8
• The expression `log_2 5-sum_(k=1)^4 log_2(sin((kpi)/5))` reduces to `p/q,` where p and q are co-prime, the value of `p^2+q^2` isA. 13B. 17C. 26D. 29
• Consider the quadratic equation `(log_10 8)x^2-(log_10 5)x=2(log_2 10)^-1 -x.` Which of the following quantities are irrational.A. sum of rootsB. product of rootsC. sum of coefficientsD. discriminant
• The value of `a^x-b^y` is (where`x=sqrt(log_ab)`and `y=sqrt(log_ba),agt0,bgt0` and `a,bne1`)A. 1B. 2C. 0D. -1
• The value of x satisfying the inequation `x^(1/(log10^x)).log_10xlt1` , isA. `0ltxlt10`B. `0ltxlt10^10`C. `0ltxlt10^(1//10)`D. None of these
• The value of `a^((log_b(log_bx))/(log_b a)),` isA. `log_aN`B. `log_bN`C. `log_Na`D. `log_Nb`
• `log_2log_2(sqrt(sqrt(...sqrtsqrt2)))/(nTimes)` is equal to
• If x =`log_3(5)` and y =`log_17( 25)`, which one of the following is correct?A. `altb`B. a=bC. `agtb`D. None of these
• Suppose `U` denotes the number of digits in the number` (60)^(100)` and`M` denotes the number of cyphers after decimal, before a significant figure comes in `(8)^(-296)`. If the fraction U/M is expressed as rational number in the lowest term as `p//q` (given `log_(10)2=0.301` and `log_(10)3=0.477`) .The equation whose roots are p and q, isA. `x^2-3x+2=0`B. `x^2-5x+6=0`C. `x^2-7x+12=0`D. `x^2-9x+20=0`
• Suppose `U` denotes the number of digits in the number` (60)^(100)` and`M` denotes the number of cyphers after decimal, before a significant figure comes in `(8)^(-296)`. If the fraction U/M is expressed as rational number in the lowest term as `p//q` (given `log_(10)2=0.301` and `log_(10)3=0.477`) . The value of q isA. 5B. 2C. 3D. 4