NDA2018MathematicsBasics of MathematicsActual
What is the value of ₇ ₇ 7 7 7 equal to?
Options
- A3 ₂ 7
- B1-3 ₂ 7
- C1-3 ₇ 2
- D7 8
Correct answer
C. 1-3 ₇ 2
Step-by-step solution
Let ₇ ₇ 7 7 7 =x then aligned 7^x & = ₇ 7 7 7 7^x & = 1 2 ₇ 7 7 7 7^x & = 1 2 [ ₇ 7+ 1 2 ₇ 7 7 ] & = 1 2 [1+ 1 2 ₇ 7+ 1 2 ₇ 7 ] & = 1 2 [1+ 1 2 + 1 4 ] 7^x & = 7 8 x & = ₇ ( 7 8 ) x & = ₇ 7- ₇ 8 x & =1-3 ₇ 2 aligned