Question

16^x=(1/512)
how do you find x

Answer 1

i would write both sides as a power of 2

Answer 2

\[16=2^4\] so
\[16^x=2^{4x}\]

Answer 3

\[512=2^9\] so
\[\frac{1}{512}=2^{-9}\]

Answer 4

then you have
\[2^{4x}=2^{-9}\] and therefore
\[2x=-9\] etc

Answer 5

you are greeaaat, im trying to review all of this for a quiz tomorrow, thank you!

Answer 6

i can show you how to cheat with a calculator if you like. type is
\[\log(\frac{1}{512})\div \log(16)\]

Answer 7

myininaya where are you??

Answer 8

http://openstudy.com/groups/mathematics#/groups/mathematics/updates/4e813ecd0b8bc11dd53d9540