Question

log2 30

Answer 1

what is log2 30 without using a calculator?

Answer 2

no way to know it since 30 is not a power of 2

Answer 3

it is a bit less than 5, because \(5^2=32\)

Answer 4

with a calculator you can use
\[\log_2(30)=\frac{\ln (30)}{\ln(2)}\]

Answer 5

\[\log_216<\log_2 30<\log_2 32\]\[\qquad\quad4<\log_2 30<5\]

Answer 6

Thank you so much!!