Question

if log 2 base 10 = 0 point 3010 then log 64 base 5

Answer 1

Answer:

Given log

10

2=0.301

log

10

2

64

=64×log

10

2=64×0.3010=19.264

⇒2

64

=10

19.264

The number of digits in 10

19

is 20 , there will be 21 digits from 10

21

The number 10

19.264

lies between them

Therefore the number of digits in 10

19.264

is 20

Therefore the correct option is D