Question

Evaluate log2 8.

Answer 1

log2 8=log2 2^3=3log2 2=3

Answer 2

You can write 8 as :

\[8 = 2^3\]

Answer 3

So,

\[\large \log_2(2^3) = 3 \log_2(2)\]

Answer 4

And now using:

\[\large \color{green}{\log_a(a) = 1}\]

Answer 5

So:

\[\log_2(2) = 1..\]

Answer 6

So,

\[\log_2(8) = 3\]

Answer 7

Great, thanks!