Question

simplify: log base 1/2 of (8)

Answer 1

Hello @wischy Welcome to openstudy :)

Answer 2

Do you know how to start this off?

Answer 3

i don't

Answer 4

Hm, have you learned about converting between log and exponential?

Answer 5

yes I did probably a year ago. I can't remember how to do these though.

Answer 6

Well switching between them will help:
\[\log_{1/2} 8\]
Wold become:
\[(\frac{1}{2})^x=8\]

Answer 7

Do you remember your power rules and negative exponents?

Answer 8

no

Answer 9

When you have a negative power the fraction will switch to a whole number. So to what power will give you an 8?
2^{-x}=8