Question

Evaluate log4 16.

Answer 1

\[\log_{a}(b)=C\]
\[a^{c}=b\]

Answer 2

\[\log_{4} 16\]

Answer 3

this gives you an expression of

\[4^{x}=16\]

Answer 4

no

Answer 5

if you have
log base 4 of 16= X
you want to know what power 4 is raised to to get 16

Answer 6

no

Answer 7

2

Answer 8

4 squared is 16

Answer 9

Oh ok thanks

Answer 10

similarly

Answer 11

\(\bf log_{\color{brown}{ a}}{\color{blue}{ b}}=y\iff {\color{brown}{ a}}^y={\color{blue}{ b}}
\\ \quad \\ \quad \\

log_{\color{brown}{ 4}}{\color{blue}{ 16}}\implies ?
\)

Answer 12

you could also do...

Answer 13

\[4^{x}=16\]
take log base 4 on both sides
\[\log_{4}4^{x}=\log_{4}16\]
assuming you know your rules of logarithms

\[xlog_{4}4=\log_{4}4 + \log_{4}4\]

you should know
\[\log_{4}4=1\]
so you end up with
x=1+1