Question

Write log3 6 as a logarithm of base 2.

Answer 1

Hey Millie :)
We have a handy `Change of Base` formula for this type of situation.

Answer 2

\[\large\rm \log_c(a)=\frac{\log_b(a)}{\log_b(c)}\]Where b is any new base value that we want.

Answer 3

would it be log base 2 of 3 over log base 2 of 6

Answer 4

If you ever forget which number is supposed to go on top,
I like to do this to remind myself,
just draw a line here,The line is telling me that the 6 is supposed to be on top, ya?