Question

2^{4/l \log_{2}x}=1/256

Answer 1

2^{4/l \log_{2}x}=1/256

Answer 2

\[2^{4\log_{2}(x)}=\frac{1}{256}\]

Answer 3

yes, how do i solve it?

Answer 4

please do help

Answer 5

i didn't, i just tried to interpret what you wrote

Answer 6

yes, so can you help me solve it?

Answer 7

we have lots of choices here

Answer 8

okay

Answer 9

so what are they

Answer 10

\[256=2^8\] so
\[\frac{1}{256}=2^{-8}\] so you could start with
\[2^{4\log_{2}(x)}=2^{-8}\] then
\[4\log_2(x)=-8\]then
\[\log_2(x)=-2\] and so
\[x=2^{-2}=\frac{1}{2^2}=\frac{1}{4}\]

Answer 11

so it's .2500?

Answer 12

or we could say
\[2^{4\log_{2}(x)}=\frac{1}{256}\]
\[2^{\log_{2}(x^4)}=\frac{1}{256}\]
\[x^4=\frac{1}{256}\]
\[x=\frac{1}{\sqrt[4]{256}}=\frac{1}{4}\] so

Answer 13

they computer wouldnt accept the answer :(