Question

how would you find c in terms of k for this equation:

Answer 1

\[2^c=\sqrt{\frac{ 4 }{ 2^k }}\]

Answer 2

id probably say take log of both sides :)

Answer 3

I haven't done log yet :/

Answer 4

well that stinks :(

Answer 5

ok, so make the base of 2 sides equal...then equate the powers :)

Answer 6

yes take log base 2
\[c=\sqrt(\frac{4}{2^k})\]

Answer 7

sorry

Answer 8

i missed the log base two

Answer 9

I'm not sure how to write \[\sqrt{\frac{ 4 }{ 2^k }}\] as 2 to the power of something...

Answer 10

ok lets work on that Zara

Answer 11

\[c=\log_2(\sqrt{\frac{4}{2^k}})\]

Answer 12

sorry for interupting

Answer 13

\[\frac{4}{2^k}=\frac{2^2}{2^k}=2^{2-k}\]right?

Answer 14

aroyni - i don't know what log is, sorry

Answer 15

ohhh yes i get it now, thank you!

Answer 16

yw :)

Answer 17

just don't forget the square root adds a 1/2
so c=1-k/2

Answer 18

yep, thank you :)