Question

Hey guys, i need help to simplify this log:

log(1/2) (1/8)^(2-x)

(1/2) is the log base.

Answer 1

yes

Answer 2

the answer is 1/2x

Answer 3

\[\log_{1/2}\left(\frac{1}{8}\right)^{2-x}\]

Answer 4

that the question?

Answer 5

pull the \(2-x\) out front as
\[(2-x)\log_{1/2}\left(\frac{1}{8}\right)\] first

Answer 6

then figure out what
\[\log_{1/2}\left(\frac{1}{8}\right)\] is, which should not bet too hard

Answer 7

solve
\[\left(\frac{1}{2}\right)^y=\frac{1}{8}\] for \(y\) in your head and you will get it

Answer 8

thanks for replying, i just need to simplify, not find the x
the answer in the test says 6-3x