Question

1. If 2 2 2 3 log log 1728 x  , then the value of x is (a) 8 (b) – 8 (c) + 8 (d) 6.
2. The value of 2 3    2 log log log 9 is (a) 2 (b) 4 (c) 8 (d) 1.
3. If sum of three successive terms of an A.P. is 30, then middle term of these three is (a) 10 (b) 8 (c) 12 (d) 9.
4. The value of the sum : 10C 1 + 10C 3 + 10C 5 + 10C 7 + 10C 9 is (a) 1024 (b) 512 (c) 1023 (d) 511 P​

Answer 1

Answer:

Correct option is D)

Let log

2

3

1728=x

⟹1728=(2

3

)

x

⟹(1728=2

6

×3

3

=2

6

3

6

)

∴2

6

(

3

)

6

=(2

3

)

x

∴x=6