Question

Expand the Logarithm

Log6 2x/y

Answer 1

The 6 is the base?

Answer 2

yes :)

Answer 3

We used our division rule in the last problem,
now we want to use it in the reverse direction,\[\large\rm \log\left(\frac{a}{b}\right)=\log(a)-\log(b)\]

Answer 4

Do you see how that will help us break the 2x away from the y?

Answer 5

the 2x stays together?

Answer 6

yes, for now.

Answer 7

so Log (2x) - Log (y)??

Answer 8

log(2x/y) = log(2x) - log(y)

mmm k great, first step is done.

Answer 9

or Log6 (2x) - Log6 (y)

Answer 10

yes, we probably shouldn't ignore the base of the log :) my bad

Answer 11

yeah haha :)

Answer 12

then what?

Answer 13

Then apply your multiplication rule to the 2 and x,
log(ab) = log(a) + log(b)

Answer 14

so log6 (2) + Log6 (x) ?

Answer 15

?

Answer 16

oh sorry got busy XD yes.

Answer 17

log6(2x/y) = log6(2)+log6(x)-log6(y)

yay team \c:/

Answer 18

its okay :)

Answer 19

is that it?