Question

Use log4 3~0.7925 and log 4 = 1 to approximate the value of the expression log4 768​

Answer 1

Explanation:

We need to find the value of log4(768).

768 can be written as 3*256

which further can be simplified to 3*4^4

so using the log property log(AB)=log A+ log B

we can write

log4(768) = log4(3)+log4(4^4)

=0.7925+4log4(4)

=0.7925+4

=4.7925