Question

log6 36

Answer 1

hint : \(36 = 6^2\)

Answer 2

given ,
log6 36
to evaluate this lets say that it equals to y
log6 36=y
in your head u can change this to exponential form by raising the base 6 to the y power and setting it equals to 36.in equation form this is
6^y=36
or,6^y=6^2
or,y=2
so now we can write,log6 36=2..

Answer 3

Don't you have a log book? if not buy one :)

Answer 4

\[\log_6 36 = \log_6 6^2 = 2\log_66\]
\[\text{Let } y = \log_aa \Rightarrow a^y = a\]So it makes sense that y = 1.

So \(2\log_66 = 2(1) = \boxed{2}\)

Answer 5

You don't need to buy a log book (just my opinion). But you do need to know how to convert log to exponential form (just like geerky42 demonstrated above)