Most Important Selected Qs for JEE AdvancedMathematicsBasics of Mathematics
Let , , are positive real numbers such that _ (2 )= 1 3 , _ (5 )= 1 6 and _ ( )= 3 2 , then:
Options
- A^3= 1 16
- B^3= 1 80
- C= 1 10
- D¹²= 5¹⁴ 2
Correct answer
C. = 1 10
Step-by-step solution
=8 ^3, =5^6 ^6, ^3= ^2 ^2 array ll & (2 )^3= (25 ^2 )^3 & 2 =25 ^2 array Also ^3=2^9 ^9= ^2 ^2 ^2=2^9 ^7= 2 25 ^6= 1 2^8 25 = 1 2^8 5^2 ^3= 1 2^4 5 Option (2) Also =8 1 2^4 5 = 1 10 Option (3) Also ^6= 5^6 = 1 10 5^6